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Finding the Fourth Proportional to 106.60, 147 and 79.08

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Solution

The fourth proportional to 106.60, 147 and 79.08 is: 109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.60 : 147 = 79.08 : x
  2. Step 2: Convert to fraction form
    106.60/147 = 79.08/x
  3. Step 3: Cross multiply
    106.60x = 147 × 79.08
  4. Step 4: Simplify right side
    106.60x = 11,624.76
  5. Step 5: Solve for x
    x = 11,624.76/106.60
  6. Step 6: Final answer
    x = 109.05

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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.