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Finding the Fourth Proportional to 102.40, 141.34 and 65.06

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Solution

The fourth proportional to 102.40, 141.34 and 65.06 is: 89.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 141.34 = 65.06 : x
  2. Step 2: Convert to fraction form
    102.40/141.34 = 65.06/x
  3. Step 3: Cross multiply
    102.40x = 141.34 × 65.06
  4. Step 4: Simplify right side
    102.40x = 9,195.58
  5. Step 5: Solve for x
    x = 9,195.58/102.40
  6. Step 6: Final answer
    x = 89.80

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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.