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Finding the Fourth Proportional to 82.57, 123.14 and 75.55

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Solution

The fourth proportional to 82.57, 123.14 and 75.55 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 123.14 = 75.55 : x
  2. Step 2: Convert to fraction form
    82.57/123.14 = 75.55/x
  3. Step 3: Cross multiply
    82.57x = 123.14 × 75.55
  4. Step 4: Simplify right side
    82.57x = 9,303.23
  5. Step 5: Solve for x
    x = 9,303.23/82.57
  6. Step 6: Final answer
    x = 112.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.