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Finding the Fourth Proportional to 97.46, 134.49 and 53.80

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Solution

The fourth proportional to 97.46, 134.49 and 53.80 is: 74.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.46 : 134.49 = 53.80 : x
  2. Step 2: Convert to fraction form
    97.46/134.49 = 53.80/x
  3. Step 3: Cross multiply
    97.46x = 134.49 × 53.80
  4. Step 4: Simplify right side
    97.46x = 7,235.23
  5. Step 5: Solve for x
    x = 7,235.23/97.46
  6. Step 6: Final answer
    x = 74.24

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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.