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Finding the Fourth Proportional to 114.03, 170.10 and 101.88

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Solution

The fourth proportional to 114.03, 170.10 and 101.88 is: 151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 170.10 = 101.88 : x
  2. Step 2: Convert to fraction form
    114.03/170.10 = 101.88/x
  3. Step 3: Cross multiply
    114.03x = 170.10 × 101.88
  4. Step 4: Simplify right side
    114.03x = 17,329.79
  5. Step 5: Solve for x
    x = 17,329.79/114.03
  6. Step 6: Final answer
    x = 151.98

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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.