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Finding the Fourth Proportional to 106.93, 147.54 and 83.59

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Solution

The fourth proportional to 106.93, 147.54 and 83.59 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.93 : 147.54 = 83.59 : x
  2. Step 2: Convert to fraction form
    106.93/147.54 = 83.59/x
  3. Step 3: Cross multiply
    106.93x = 147.54 × 83.59
  4. Step 4: Simplify right side
    106.93x = 12,332.87
  5. Step 5: Solve for x
    x = 12,332.87/106.93
  6. Step 6: Final answer
    x = 115.34

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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.