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Finding the Fourth Proportional to 56.01, 84.15 and 47.64

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Solution

The fourth proportional to 56.01, 84.15 and 47.64 is: 71.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.01 : 84.15 = 47.64 : x
  2. Step 2: Convert to fraction form
    56.01/84.15 = 47.64/x
  3. Step 3: Cross multiply
    56.01x = 84.15 × 47.64
  4. Step 4: Simplify right side
    56.01x = 4,008.91
  5. Step 5: Solve for x
    x = 4,008.91/56.01
  6. Step 6: Final answer
    x = 71.57

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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.