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Finding the Fourth Proportional to 106.86, 159.27 and 106.01

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Solution

The fourth proportional to 106.86, 159.27 and 106.01 is: 158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 159.27 = 106.01 : x
  2. Step 2: Convert to fraction form
    106.86/159.27 = 106.01/x
  3. Step 3: Cross multiply
    106.86x = 159.27 × 106.01
  4. Step 4: Simplify right side
    106.86x = 16,884.21
  5. Step 5: Solve for x
    x = 16,884.21/106.86
  6. Step 6: Final answer
    x = 158.00

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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.