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Finding the Fourth Proportional to 102.10, 140.86 and 75.93

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Solution

The fourth proportional to 102.10, 140.86 and 75.93 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.10 : 140.86 = 75.93 : x
  2. Step 2: Convert to fraction form
    102.10/140.86 = 75.93/x
  3. Step 3: Cross multiply
    102.10x = 140.86 × 75.93
  4. Step 4: Simplify right side
    102.10x = 10,695.50
  5. Step 5: Solve for x
    x = 10,695.50/102.10
  6. Step 6: Final answer
    x = 104.76

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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.