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Finding the Fourth Proportional to 82.24, 113.50 and 45.40

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Solution

The fourth proportional to 82.24, 113.50 and 45.40 is: 62.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 113.50 = 45.40 : x
  2. Step 2: Convert to fraction form
    82.24/113.50 = 45.40/x
  3. Step 3: Cross multiply
    82.24x = 113.50 × 45.40
  4. Step 4: Simplify right side
    82.24x = 5,152.93
  5. Step 5: Solve for x
    x = 5,152.93/82.24
  6. Step 6: Final answer
    x = 62.66

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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.