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Finding the Fourth Proportional to 72.24, 99.77 and 47.76

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Solution

The fourth proportional to 72.24, 99.77 and 47.76 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.24 : 99.77 = 47.76 : x
  2. Step 2: Convert to fraction form
    72.24/99.77 = 47.76/x
  3. Step 3: Cross multiply
    72.24x = 99.77 × 47.76
  4. Step 4: Simplify right side
    72.24x = 4,765.02
  5. Step 5: Solve for x
    x = 4,765.02/72.24
  6. Step 6: Final answer
    x = 65.96

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