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Finding the Fourth Proportional to 102.32, 140.36 and 100.60

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Solution

The fourth proportional to 102.32, 140.36 and 100.60 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 140.36 = 100.60 : x
  2. Step 2: Convert to fraction form
    102.32/140.36 = 100.60/x
  3. Step 3: Cross multiply
    102.32x = 140.36 × 100.60
  4. Step 4: Simplify right side
    102.32x = 14,120.22
  5. Step 5: Solve for x
    x = 14,120.22/102.32
  6. Step 6: Final answer
    x = 138.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.