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Finding the Fourth Proportional to 102.30, 152.97 and 71.65

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Solution

The fourth proportional to 102.30, 152.97 and 71.65 is: 107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 152.97 = 71.65 : x
  2. Step 2: Convert to fraction form
    102.30/152.97 = 71.65/x
  3. Step 3: Cross multiply
    102.30x = 152.97 × 71.65
  4. Step 4: Simplify right side
    102.30x = 10,960.30
  5. Step 5: Solve for x
    x = 10,960.30/102.30
  6. Step 6: Final answer
    x = 107.14

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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.