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Finding the Fourth Proportional to 106.86, 159.93 and 91.02

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Solution

The fourth proportional to 106.86, 159.93 and 91.02 is: 136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 159.93 = 91.02 : x
  2. Step 2: Convert to fraction form
    106.86/159.93 = 91.02/x
  3. Step 3: Cross multiply
    106.86x = 159.93 × 91.02
  4. Step 4: Simplify right side
    106.86x = 14,556.83
  5. Step 5: Solve for x
    x = 14,556.83/106.86
  6. Step 6: Final answer
    x = 136.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.