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Finding the Fourth Proportional to 150.24, 207.40 and 101.12

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Solution

The fourth proportional to 150.24, 207.40 and 101.12 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 207.40 = 101.12 : x
  2. Step 2: Convert to fraction form
    150.24/207.40 = 101.12/x
  3. Step 3: Cross multiply
    150.24x = 207.40 × 101.12
  4. Step 4: Simplify right side
    150.24x = 20,972.29
  5. Step 5: Solve for x
    x = 20,972.29/150.24
  6. Step 6: Final answer
    x = 139.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.