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Finding the Fourth Proportional to 82.53, 123.84 and 31.17

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Solution

The fourth proportional to 82.53, 123.84 and 31.17 is: 46.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 123.84 = 31.17 : x
  2. Step 2: Convert to fraction form
    82.53/123.84 = 31.17/x
  3. Step 3: Cross multiply
    82.53x = 123.84 × 31.17
  4. Step 4: Simplify right side
    82.53x = 3,860.09
  5. Step 5: Solve for x
    x = 3,860.09/82.53
  6. Step 6: Final answer
    x = 46.77

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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.