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Finding the Fourth Proportional to 114.43, 170.80 and 100.76

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Solution

The fourth proportional to 114.43, 170.80 and 100.76 is: 150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.43 : 170.80 = 100.76 : x
  2. Step 2: Convert to fraction form
    114.43/170.80 = 100.76/x
  3. Step 3: Cross multiply
    114.43x = 170.80 × 100.76
  4. Step 4: Simplify right side
    114.43x = 17,210.23
  5. Step 5: Solve for x
    x = 17,210.23/114.43
  6. Step 6: Final answer
    x = 150.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.