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Finding the Fourth Proportional to 105.49, 159.05 and 97.93

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Solution

The fourth proportional to 105.49, 159.05 and 97.93 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.49 : 159.05 = 97.93 : x
  2. Step 2: Convert to fraction form
    105.49/159.05 = 97.93/x
  3. Step 3: Cross multiply
    105.49x = 159.05 × 97.93
  4. Step 4: Simplify right side
    105.49x = 15,575.77
  5. Step 5: Solve for x
    x = 15,575.77/105.49
  6. Step 6: Final answer
    x = 147.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.