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Finding the Fourth Proportional to 97.24, 134.19 and 53.57

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Solution

The fourth proportional to 97.24, 134.19 and 53.57 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 134.19 = 53.57 : x
  2. Step 2: Convert to fraction form
    97.24/134.19 = 53.57/x
  3. Step 3: Cross multiply
    97.24x = 134.19 × 53.57
  4. Step 4: Simplify right side
    97.24x = 7,188.29
  5. Step 5: Solve for x
    x = 7,188.29/97.24
  6. Step 6: Final answer
    x = 73.93

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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.