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Finding the Fourth Proportional to 101.46, 152.17 and 37.29

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Solution

The fourth proportional to 101.46, 152.17 and 37.29 is: 55.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 152.17 = 37.29 : x
  2. Step 2: Convert to fraction form
    101.46/152.17 = 37.29/x
  3. Step 3: Cross multiply
    101.46x = 152.17 × 37.29
  4. Step 4: Simplify right side
    101.46x = 5,674.42
  5. Step 5: Solve for x
    x = 5,674.42/101.46
  6. Step 6: Final answer
    x = 55.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.