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Finding the Fourth Proportional to 114.18, 170.43 and 100.49

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Solution

The fourth proportional to 114.18, 170.43 and 100.49 is: 149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.18 : 170.43 = 100.49 : x
  2. Step 2: Convert to fraction form
    114.18/170.43 = 100.49/x
  3. Step 3: Cross multiply
    114.18x = 170.43 × 100.49
  4. Step 4: Simplify right side
    114.18x = 17,125.66
  5. Step 5: Solve for x
    x = 17,125.66/114.18
  6. Step 6: Final answer
    x = 149.99

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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.