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Finding the Fourth Proportional to 142.18, 212.53 and 101.38

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Solution

The fourth proportional to 142.18, 212.53 and 101.38 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.18 : 212.53 = 101.38 : x
  2. Step 2: Convert to fraction form
    142.18/212.53 = 101.38/x
  3. Step 3: Cross multiply
    142.18x = 212.53 × 101.38
  4. Step 4: Simplify right side
    142.18x = 21,546.29
  5. Step 5: Solve for x
    x = 21,546.29/142.18
  6. Step 6: Final answer
    x = 151.54

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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.