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Finding the Fourth Proportional to 106.16, 159.06 and 85.84

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Solution

The fourth proportional to 106.16, 159.06 and 85.84 is: 128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 159.06 = 85.84 : x
  2. Step 2: Convert to fraction form
    106.16/159.06 = 85.84/x
  3. Step 3: Cross multiply
    106.16x = 159.06 × 85.84
  4. Step 4: Simplify right side
    106.16x = 13,653.71
  5. Step 5: Solve for x
    x = 13,653.71/106.16
  6. Step 6: Final answer
    x = 128.61

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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.