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Finding the Fourth Proportional to 159.74, 220.45 and 110.64

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Solution

The fourth proportional to 159.74, 220.45 and 110.64 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.74 : 220.45 = 110.64 : x
  2. Step 2: Convert to fraction form
    159.74/220.45 = 110.64/x
  3. Step 3: Cross multiply
    159.74x = 220.45 × 110.64
  4. Step 4: Simplify right side
    159.74x = 24,390.59
  5. Step 5: Solve for x
    x = 24,390.59/159.74
  6. Step 6: Final answer
    x = 152.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.