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Finding the Fourth Proportional to 56.58, 84.42 and 47.58

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Solution

The fourth proportional to 56.58, 84.42 and 47.58 is: 70.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.58 : 84.42 = 47.58 : x
  2. Step 2: Convert to fraction form
    56.58/84.42 = 47.58/x
  3. Step 3: Cross multiply
    56.58x = 84.42 × 47.58
  4. Step 4: Simplify right side
    56.58x = 4,016.70
  5. Step 5: Solve for x
    x = 4,016.70/56.58
  6. Step 6: Final answer
    x = 70.99

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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.