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Finding the Fourth Proportional to 55.15, 82.30 and 47.86

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Solution

The fourth proportional to 55.15, 82.30 and 47.86 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.15 : 82.30 = 47.86 : x
  2. Step 2: Convert to fraction form
    55.15/82.30 = 47.86/x
  3. Step 3: Cross multiply
    55.15x = 82.30 × 47.86
  4. Step 4: Simplify right side
    55.15x = 3,938.64
  5. Step 5: Solve for x
    x = 3,938.64/55.15
  6. Step 6: Final answer
    x = 71.42

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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.