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Finding the Fourth Proportional to 47.86, 72.33 and 47.07

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Solution

The fourth proportional to 47.86, 72.33 and 47.07 is: 71.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.86 : 72.33 = 47.07 : x
  2. Step 2: Convert to fraction form
    47.86/72.33 = 47.07/x
  3. Step 3: Cross multiply
    47.86x = 72.33 × 47.07
  4. Step 4: Simplify right side
    47.86x = 3,404.57
  5. Step 5: Solve for x
    x = 3,404.57/47.86
  6. Step 6: Final answer
    x = 71.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.