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Finding the Fourth Proportional to 150.38, 207.59 and 101.34

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Solution

The fourth proportional to 150.38, 207.59 and 101.34 is: 139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 207.59 = 101.34 : x
  2. Step 2: Convert to fraction form
    150.38/207.59 = 101.34/x
  3. Step 3: Cross multiply
    150.38x = 207.59 × 101.34
  4. Step 4: Simplify right side
    150.38x = 21,037.17
  5. Step 5: Solve for x
    x = 21,037.17/150.38
  6. Step 6: Final answer
    x = 139.89

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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.