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Finding the Fourth Proportional to 142.65, 213.90 and 61.44

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Solution

The fourth proportional to 142.65, 213.90 and 61.44 is: 92.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 213.90 = 61.44 : x
  2. Step 2: Convert to fraction form
    142.65/213.90 = 61.44/x
  3. Step 3: Cross multiply
    142.65x = 213.90 × 61.44
  4. Step 4: Simplify right side
    142.65x = 13,142.02
  5. Step 5: Solve for x
    x = 13,142.02/142.65
  6. Step 6: Final answer
    x = 92.13

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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.