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Finding the Fourth Proportional to 101.31, 152.07 and 67.08

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Solution

The fourth proportional to 101.31, 152.07 and 67.08 is: 100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.31 : 152.07 = 67.08 : x
  2. Step 2: Convert to fraction form
    101.31/152.07 = 67.08/x
  3. Step 3: Cross multiply
    101.31x = 152.07 × 67.08
  4. Step 4: Simplify right side
    101.31x = 10,200.86
  5. Step 5: Solve for x
    x = 10,200.86/101.31
  6. Step 6: Final answer
    x = 100.69

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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.