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Finding the Fourth Proportional to 102.29, 141.05 and 65.40

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Solution

The fourth proportional to 102.29, 141.05 and 65.40 is: 90.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 141.05 = 65.40 : x
  2. Step 2: Convert to fraction form
    102.29/141.05 = 65.40/x
  3. Step 3: Cross multiply
    102.29x = 141.05 × 65.40
  4. Step 4: Simplify right side
    102.29x = 9,224.34
  5. Step 5: Solve for x
    x = 9,224.34/102.29
  6. Step 6: Final answer
    x = 90.18

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