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Finding the Fourth Proportional to 72.33, 99.75 and 47.77

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Solution

The fourth proportional to 72.33, 99.75 and 47.77 is: 65.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.33 : 99.75 = 47.77 : x
  2. Step 2: Convert to fraction form
    72.33/99.75 = 47.77/x
  3. Step 3: Cross multiply
    72.33x = 99.75 × 47.77
  4. Step 4: Simplify right side
    72.33x = 4,765.06
  5. Step 5: Solve for x
    x = 4,765.06/72.33
  6. Step 6: Final answer
    x = 65.88

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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.