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Finding the Fourth Proportional to 151.52, 208.96 and 101.64

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Solution

The fourth proportional to 151.52, 208.96 and 101.64 is: 140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 208.96 = 101.64 : x
  2. Step 2: Convert to fraction form
    151.52/208.96 = 101.64/x
  3. Step 3: Cross multiply
    151.52x = 208.96 × 101.64
  4. Step 4: Simplify right side
    151.52x = 21,238.69
  5. Step 5: Solve for x
    x = 21,238.69/151.52
  6. Step 6: Final answer
    x = 140.17

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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.