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Finding the Fourth Proportional to 102.14, 140.66 and 100.10

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Solution

The fourth proportional to 102.14, 140.66 and 100.10 is: 137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 140.66 = 100.10 : x
  2. Step 2: Convert to fraction form
    102.14/140.66 = 100.10/x
  3. Step 3: Cross multiply
    102.14x = 140.66 × 100.10
  4. Step 4: Simplify right side
    102.14x = 14,080.07
  5. Step 5: Solve for x
    x = 14,080.07/102.14
  6. Step 6: Final answer
    x = 137.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.