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Finding the Fourth Proportional to 56.47, 84.08 and 56.20

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Solution

The fourth proportional to 56.47, 84.08 and 56.20 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.47 : 84.08 = 56.20 : x
  2. Step 2: Convert to fraction form
    56.47/84.08 = 56.20/x
  3. Step 3: Cross multiply
    56.47x = 84.08 × 56.20
  4. Step 4: Simplify right side
    56.47x = 4,725.30
  5. Step 5: Solve for x
    x = 4,725.30/56.47
  6. Step 6: Final answer
    x = 83.68

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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.