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Finding the Fourth Proportional to 101.97, 152.95 and 44.17

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Solution

The fourth proportional to 101.97, 152.95 and 44.17 is: 66.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.97 : 152.95 = 44.17 : x
  2. Step 2: Convert to fraction form
    101.97/152.95 = 44.17/x
  3. Step 3: Cross multiply
    101.97x = 152.95 × 44.17
  4. Step 4: Simplify right side
    101.97x = 6,755.19
  5. Step 5: Solve for x
    x = 6,755.19/101.97
  6. Step 6: Final answer
    x = 66.25

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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.