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Finding the Fourth Proportional to 106.08, 159.92 and 97.36

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Solution

The fourth proportional to 106.08, 159.92 and 97.36 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 159.92 = 97.36 : x
  2. Step 2: Convert to fraction form
    106.08/159.92 = 97.36/x
  3. Step 3: Cross multiply
    106.08x = 159.92 × 97.36
  4. Step 4: Simplify right side
    106.08x = 15,569.81
  5. Step 5: Solve for x
    x = 15,569.81/106.08
  6. Step 6: Final answer
    x = 146.77

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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.