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Finding the Fourth Proportional to 97.31, 134.30 and 53.65

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Solution

The fourth proportional to 97.31, 134.30 and 53.65 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.31 : 134.30 = 53.65 : x
  2. Step 2: Convert to fraction form
    97.31/134.30 = 53.65/x
  3. Step 3: Cross multiply
    97.31x = 134.30 × 53.65
  4. Step 4: Simplify right side
    97.31x = 7,204.59
  5. Step 5: Solve for x
    x = 7,204.59/97.31
  6. Step 6: Final answer
    x = 74.04

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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.