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Finding the Fourth Proportional to 82.64, 123.82 and 75.14

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Solution

The fourth proportional to 82.64, 123.82 and 75.14 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 123.82 = 75.14 : x
  2. Step 2: Convert to fraction form
    82.64/123.82 = 75.14/x
  3. Step 3: Cross multiply
    82.64x = 123.82 × 75.14
  4. Step 4: Simplify right side
    82.64x = 9,303.83
  5. Step 5: Solve for x
    x = 9,303.83/82.64
  6. Step 6: Final answer
    x = 112.58

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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.