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Finding the Fourth Proportional to 152.97, 229.10 and 91.97

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Solution

The fourth proportional to 152.97, 229.10 and 91.97 is: 137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.97 : 229.10 = 91.97 : x
  2. Step 2: Convert to fraction form
    152.97/229.10 = 91.97/x
  3. Step 3: Cross multiply
    152.97x = 229.10 × 91.97
  4. Step 4: Simplify right side
    152.97x = 21,069.98
  5. Step 5: Solve for x
    x = 21,069.98/152.97
  6. Step 6: Final answer
    x = 137.74

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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.