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Finding the Fourth Proportional to 106.71, 159.27 and 99.57

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Solution

The fourth proportional to 106.71, 159.27 and 99.57 is: 148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.71 : 159.27 = 99.57 : x
  2. Step 2: Convert to fraction form
    106.71/159.27 = 99.57/x
  3. Step 3: Cross multiply
    106.71x = 159.27 × 99.57
  4. Step 4: Simplify right side
    106.71x = 15,858.51
  5. Step 5: Solve for x
    x = 15,858.51/106.71
  6. Step 6: Final answer
    x = 148.61

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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.