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Finding the Fourth Proportional to 82.99, 124.93 and 75.55

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Solution

The fourth proportional to 82.99, 124.93 and 75.55 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.99 : 124.93 = 75.55 : x
  2. Step 2: Convert to fraction form
    82.99/124.93 = 75.55/x
  3. Step 3: Cross multiply
    82.99x = 124.93 × 75.55
  4. Step 4: Simplify right side
    82.99x = 9,438.46
  5. Step 5: Solve for x
    x = 9,438.46/82.99
  6. Step 6: Final answer
    x = 113.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.