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Finding the Fourth Proportional to 142.52, 213.60 and 61.28

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Solution

The fourth proportional to 142.52, 213.60 and 61.28 is: 91.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 213.60 = 61.28 : x
  2. Step 2: Convert to fraction form
    142.52/213.60 = 61.28/x
  3. Step 3: Cross multiply
    142.52x = 213.60 × 61.28
  4. Step 4: Simplify right side
    142.52x = 13,089.41
  5. Step 5: Solve for x
    x = 13,089.41/142.52
  6. Step 6: Final answer
    x = 91.84

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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.