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Finding the Fourth Proportional to 73.47, 101.12 and 61.05

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Solution

The fourth proportional to 73.47, 101.12 and 61.05 is: 84.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.47 : 101.12 = 61.05 : x
  2. Step 2: Convert to fraction form
    73.47/101.12 = 61.05/x
  3. Step 3: Cross multiply
    73.47x = 101.12 × 61.05
  4. Step 4: Simplify right side
    73.47x = 6,173.38
  5. Step 5: Solve for x
    x = 6,173.38/73.47
  6. Step 6: Final answer
    x = 84.03

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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.