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Finding the Fourth Proportional to 83.16, 114.72 and 51.65

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Solution

The fourth proportional to 83.16, 114.72 and 51.65 is: 71.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 114.72 = 51.65 : x
  2. Step 2: Convert to fraction form
    83.16/114.72 = 51.65/x
  3. Step 3: Cross multiply
    83.16x = 114.72 × 51.65
  4. Step 4: Simplify right side
    83.16x = 5,924.71
  5. Step 5: Solve for x
    x = 5,924.71/83.16
  6. Step 6: Final answer
    x = 71.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.