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Finding the Fourth Proportional to 102.32, 141.12 and 69.60

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Solution

The fourth proportional to 102.32, 141.12 and 69.60 is: 95.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 141.12 = 69.60 : x
  2. Step 2: Convert to fraction form
    102.32/141.12 = 69.60/x
  3. Step 3: Cross multiply
    102.32x = 141.12 × 69.60
  4. Step 4: Simplify right side
    102.32x = 9,821.95
  5. Step 5: Solve for x
    x = 9,821.95/102.32
  6. Step 6: Final answer
    x = 95.99

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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.