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Finding the Fourth Proportional to 73.53, 101.57 and 57.12

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Solution

The fourth proportional to 73.53, 101.57 and 57.12 is: 78.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 101.57 = 57.12 : x
  2. Step 2: Convert to fraction form
    73.53/101.57 = 57.12/x
  3. Step 3: Cross multiply
    73.53x = 101.57 × 57.12
  4. Step 4: Simplify right side
    73.53x = 5,801.39
  5. Step 5: Solve for x
    x = 5,801.39/73.53
  6. Step 6: Final answer
    x = 78.90

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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.