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Finding the Fourth Proportional to 56.59, 84.72 and 47.98

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Solution

The fourth proportional to 56.59, 84.72 and 47.98 is: 71.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.59 : 84.72 = 47.98 : x
  2. Step 2: Convert to fraction form
    56.59/84.72 = 47.98/x
  3. Step 3: Cross multiply
    56.59x = 84.72 × 47.98
  4. Step 4: Simplify right side
    56.59x = 4,064.87
  5. Step 5: Solve for x
    x = 4,064.87/56.59
  6. Step 6: Final answer
    x = 71.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.