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Finding the Fourth Proportional to 73.66, 101.60 and 51.49

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Solution

The fourth proportional to 73.66, 101.60 and 51.49 is: 71.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.66 : 101.60 = 51.49 : x
  2. Step 2: Convert to fraction form
    73.66/101.60 = 51.49/x
  3. Step 3: Cross multiply
    73.66x = 101.60 × 51.49
  4. Step 4: Simplify right side
    73.66x = 5,231.38
  5. Step 5: Solve for x
    x = 5,231.38/73.66
  6. Step 6: Final answer
    x = 71.02

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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.