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Finding the Fourth Proportional to 101.38, 152.09 and 52.66

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Solution

The fourth proportional to 101.38, 152.09 and 52.66 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 152.09 = 52.66 : x
  2. Step 2: Convert to fraction form
    101.38/152.09 = 52.66/x
  3. Step 3: Cross multiply
    101.38x = 152.09 × 52.66
  4. Step 4: Simplify right side
    101.38x = 8,008.69
  5. Step 5: Solve for x
    x = 8,008.69/101.38
  6. Step 6: Final answer
    x = 78.99

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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.