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Finding the Fourth Proportional to 73.27, 101.20 and 56.93

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Solution

The fourth proportional to 73.27, 101.20 and 56.93 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.27 : 101.20 = 56.93 : x
  2. Step 2: Convert to fraction form
    73.27/101.20 = 56.93/x
  3. Step 3: Cross multiply
    73.27x = 101.20 × 56.93
  4. Step 4: Simplify right side
    73.27x = 5,761.32
  5. Step 5: Solve for x
    x = 5,761.32/73.27
  6. Step 6: Final answer
    x = 78.64

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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.