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Finding the Fourth Proportional to 73.41, 101.22 and 52.68

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Solution

The fourth proportional to 73.41, 101.22 and 52.68 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.41 : 101.22 = 52.68 : x
  2. Step 2: Convert to fraction form
    73.41/101.22 = 52.68/x
  3. Step 3: Cross multiply
    73.41x = 101.22 × 52.68
  4. Step 4: Simplify right side
    73.41x = 5,332.27
  5. Step 5: Solve for x
    x = 5,332.27/73.41
  6. Step 6: Final answer
    x = 72.64

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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.