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Finding the Fourth Proportional to 67.48, 93.28 and 53.76

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Solution

The fourth proportional to 67.48, 93.28 and 53.76 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 93.28 = 53.76 : x
  2. Step 2: Convert to fraction form
    67.48/93.28 = 53.76/x
  3. Step 3: Cross multiply
    67.48x = 93.28 × 53.76
  4. Step 4: Simplify right side
    67.48x = 5,014.73
  5. Step 5: Solve for x
    x = 5,014.73/67.48
  6. Step 6: Final answer
    x = 74.31

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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.