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Finding the Fourth Proportional to 117.84, 175.90 and 100.42

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Solution

The fourth proportional to 117.84, 175.90 and 100.42 is: 149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 175.90 = 100.42 : x
  2. Step 2: Convert to fraction form
    117.84/175.90 = 100.42/x
  3. Step 3: Cross multiply
    117.84x = 175.90 × 100.42
  4. Step 4: Simplify right side
    117.84x = 17,663.88
  5. Step 5: Solve for x
    x = 17,663.88/117.84
  6. Step 6: Final answer
    x = 149.90

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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.