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Finding the Fourth Proportional to 101.38, 152.02 and 32.93

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Solution

The fourth proportional to 101.38, 152.02 and 32.93 is: 49.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 152.02 = 32.93 : x
  2. Step 2: Convert to fraction form
    101.38/152.02 = 32.93/x
  3. Step 3: Cross multiply
    101.38x = 152.02 × 32.93
  4. Step 4: Simplify right side
    101.38x = 5,006.02
  5. Step 5: Solve for x
    x = 5,006.02/101.38
  6. Step 6: Final answer
    x = 49.38

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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.