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Finding the Fourth Proportional to 101.92, 152.18 and 88.24

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Solution

The fourth proportional to 101.92, 152.18 and 88.24 is: 131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 152.18 = 88.24 : x
  2. Step 2: Convert to fraction form
    101.92/152.18 = 88.24/x
  3. Step 3: Cross multiply
    101.92x = 152.18 × 88.24
  4. Step 4: Simplify right side
    101.92x = 13,428.36
  5. Step 5: Solve for x
    x = 13,428.36/101.92
  6. Step 6: Final answer
    x = 131.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.