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Finding the Fourth Proportional to 55.85, 77.01 and 47.12

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Solution

The fourth proportional to 55.85, 77.01 and 47.12 is: 64.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.85 : 77.01 = 47.12 : x
  2. Step 2: Convert to fraction form
    55.85/77.01 = 47.12/x
  3. Step 3: Cross multiply
    55.85x = 77.01 × 47.12
  4. Step 4: Simplify right side
    55.85x = 3,628.71
  5. Step 5: Solve for x
    x = 3,628.71/55.85
  6. Step 6: Final answer
    x = 64.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.