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Finding the Fourth Proportional to 118.68, 177.14 and 105

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Solution

The fourth proportional to 118.68, 177.14 and 105 is: 156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.68 : 177.14 = 105 : x
  2. Step 2: Convert to fraction form
    118.68/177.14 = 105/x
  3. Step 3: Cross multiply
    118.68x = 177.14 × 105
  4. Step 4: Simplify right side
    118.68x = 18,599.18
  5. Step 5: Solve for x
    x = 18,599.18/118.68
  6. Step 6: Final answer
    x = 156.72

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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.