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Finding the Fourth Proportional to 101.59, 152.15 and 74.59

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Solution

The fourth proportional to 101.59, 152.15 and 74.59 is: 111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.59 : 152.15 = 74.59 : x
  2. Step 2: Convert to fraction form
    101.59/152.15 = 74.59/x
  3. Step 3: Cross multiply
    101.59x = 152.15 × 74.59
  4. Step 4: Simplify right side
    101.59x = 11,348.12
  5. Step 5: Solve for x
    x = 11,348.12/101.59
  6. Step 6: Final answer
    x = 111.71

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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.