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Finding the Fourth Proportional to 142.07, 212.24 and 90.27

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Solution

The fourth proportional to 142.07, 212.24 and 90.27 is: 134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 212.24 = 90.27 : x
  2. Step 2: Convert to fraction form
    142.07/212.24 = 90.27/x
  3. Step 3: Cross multiply
    142.07x = 212.24 × 90.27
  4. Step 4: Simplify right side
    142.07x = 19,159.13
  5. Step 5: Solve for x
    x = 19,159.13/142.07
  6. Step 6: Final answer
    x = 134.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.