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Finding the Fourth Proportional to 114.40, 170.72 and 100.72

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Solution

The fourth proportional to 114.40, 170.72 and 100.72 is: 150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 170.72 = 100.72 : x
  2. Step 2: Convert to fraction form
    114.40/170.72 = 100.72/x
  3. Step 3: Cross multiply
    114.40x = 170.72 × 100.72
  4. Step 4: Simplify right side
    114.40x = 17,194.92
  5. Step 5: Solve for x
    x = 17,194.92/114.40
  6. Step 6: Final answer
    x = 150.31

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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.