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Finding the Fourth Proportional to 101.25, 152.46 and 91.17

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Solution

The fourth proportional to 101.25, 152.46 and 91.17 is: 137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 152.46 = 91.17 : x
  2. Step 2: Convert to fraction form
    101.25/152.46 = 91.17/x
  3. Step 3: Cross multiply
    101.25x = 152.46 × 91.17
  4. Step 4: Simplify right side
    101.25x = 13,899.78
  5. Step 5: Solve for x
    x = 13,899.78/101.25
  6. Step 6: Final answer
    x = 137.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.