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Finding the Fourth Proportional to 102.69, 141.74 and 59.04

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Solution

The fourth proportional to 102.69, 141.74 and 59.04 is: 81.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 141.74 = 59.04 : x
  2. Step 2: Convert to fraction form
    102.69/141.74 = 59.04/x
  3. Step 3: Cross multiply
    102.69x = 141.74 × 59.04
  4. Step 4: Simplify right side
    102.69x = 8,368.03
  5. Step 5: Solve for x
    x = 8,368.03/102.69
  6. Step 6: Final answer
    x = 81.49

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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.