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Finding the Fourth Proportional to 97.31, 144.91 and 97.04

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Solution

The fourth proportional to 97.31, 144.91 and 97.04 is: 144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.31 : 144.91 = 97.04 : x
  2. Step 2: Convert to fraction form
    97.31/144.91 = 97.04/x
  3. Step 3: Cross multiply
    97.31x = 144.91 × 97.04
  4. Step 4: Simplify right side
    97.31x = 14,062.07
  5. Step 5: Solve for x
    x = 14,062.07/97.31
  6. Step 6: Final answer
    x = 144.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.