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Finding the Fourth Proportional to 73.47, 101.36 and 47.61

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Solution

The fourth proportional to 73.47, 101.36 and 47.61 is: 65.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.47 : 101.36 = 47.61 : x
  2. Step 2: Convert to fraction form
    73.47/101.36 = 47.61/x
  3. Step 3: Cross multiply
    73.47x = 101.36 × 47.61
  4. Step 4: Simplify right side
    73.47x = 4,825.75
  5. Step 5: Solve for x
    x = 4,825.75/73.47
  6. Step 6: Final answer
    x = 65.68

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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.