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Finding the Fourth Proportional to 102.56, 153.59 and 61.89

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Solution

The fourth proportional to 102.56, 153.59 and 61.89 is: 92.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 153.59 = 61.89 : x
  2. Step 2: Convert to fraction form
    102.56/153.59 = 61.89/x
  3. Step 3: Cross multiply
    102.56x = 153.59 × 61.89
  4. Step 4: Simplify right side
    102.56x = 9,505.69
  5. Step 5: Solve for x
    x = 9,505.69/102.56
  6. Step 6: Final answer
    x = 92.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.