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Finding the Fourth Proportional to 74.76, 112.23 and 47.76

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Solution

The fourth proportional to 74.76, 112.23 and 47.76 is: 71.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 112.23 = 47.76 : x
  2. Step 2: Convert to fraction form
    74.76/112.23 = 47.76/x
  3. Step 3: Cross multiply
    74.76x = 112.23 × 47.76
  4. Step 4: Simplify right side
    74.76x = 5,360.10
  5. Step 5: Solve for x
    x = 5,360.10/74.76
  6. Step 6: Final answer
    x = 71.70

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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.