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Finding the Fourth Proportional to 118.84, 177.40 and 102.69

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Solution

The fourth proportional to 118.84, 177.40 and 102.69 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 177.40 = 102.69 : x
  2. Step 2: Convert to fraction form
    118.84/177.40 = 102.69/x
  3. Step 3: Cross multiply
    118.84x = 177.40 × 102.69
  4. Step 4: Simplify right side
    118.84x = 18,216.92
  5. Step 5: Solve for x
    x = 18,216.92/118.84
  6. Step 6: Final answer
    x = 153.29

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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.