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Finding the Fourth Proportional to 56.59, 84.46 and 49.24

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Solution

The fourth proportional to 56.59, 84.46 and 49.24 is: 73.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.59 : 84.46 = 49.24 : x
  2. Step 2: Convert to fraction form
    56.59/84.46 = 49.24/x
  3. Step 3: Cross multiply
    56.59x = 84.46 × 49.24
  4. Step 4: Simplify right side
    56.59x = 4,158.27
  5. Step 5: Solve for x
    x = 4,158.27/56.59
  6. Step 6: Final answer
    x = 73.48

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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.