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Finding the Fourth Proportional to 97.04, 144.88 and 93.66

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Solution

The fourth proportional to 97.04, 144.88 and 93.66 is: 139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.04 : 144.88 = 93.66 : x
  2. Step 2: Convert to fraction form
    97.04/144.88 = 93.66/x
  3. Step 3: Cross multiply
    97.04x = 144.88 × 93.66
  4. Step 4: Simplify right side
    97.04x = 13,569.46
  5. Step 5: Solve for x
    x = 13,569.46/97.04
  6. Step 6: Final answer
    x = 139.83

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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.