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Finding the Fourth Proportional to 73.91, 101.86 and 53.12

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Solution

The fourth proportional to 73.91, 101.86 and 53.12 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.91 : 101.86 = 53.12 : x
  2. Step 2: Convert to fraction form
    73.91/101.86 = 53.12/x
  3. Step 3: Cross multiply
    73.91x = 101.86 × 53.12
  4. Step 4: Simplify right side
    73.91x = 5,410.93
  5. Step 5: Solve for x
    x = 5,410.93/73.91
  6. Step 6: Final answer
    x = 73.21

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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.