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Finding the Fourth Proportional to 102.25, 152.69 and 101.17

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Solution

The fourth proportional to 102.25, 152.69 and 101.17 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 152.69 = 101.17 : x
  2. Step 2: Convert to fraction form
    102.25/152.69 = 101.17/x
  3. Step 3: Cross multiply
    102.25x = 152.69 × 101.17
  4. Step 4: Simplify right side
    102.25x = 15,447.65
  5. Step 5: Solve for x
    x = 15,447.65/102.25
  6. Step 6: Final answer
    x = 151.08

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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.