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Finding the Fourth Proportional to 73.53, 101.60 and 57

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Solution

The fourth proportional to 73.53, 101.60 and 57 is: 78.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 101.60 = 57 : x
  2. Step 2: Convert to fraction form
    73.53/101.60 = 57/x
  3. Step 3: Cross multiply
    73.53x = 101.60 × 57
  4. Step 4: Simplify right side
    73.53x = 5,790.92
  5. Step 5: Solve for x
    x = 5,790.92/73.53
  6. Step 6: Final answer
    x = 78.76

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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.