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Finding the Fourth Proportional to 142.17, 213.10 and 61.06

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Solution

The fourth proportional to 142.17, 213.10 and 61.06 is: 91.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.17 : 213.10 = 61.06 : x
  2. Step 2: Convert to fraction form
    142.17/213.10 = 61.06/x
  3. Step 3: Cross multiply
    142.17x = 213.10 × 61.06
  4. Step 4: Simplify right side
    142.17x = 13,011.89
  5. Step 5: Solve for x
    x = 13,011.89/142.17
  6. Step 6: Final answer
    x = 91.52

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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.