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Finding the Fourth Proportional to 159.60, 220.10 and 128.50

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Solution

The fourth proportional to 159.60, 220.10 and 128.50 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 220.10 = 128.50 : x
  2. Step 2: Convert to fraction form
    159.60/220.10 = 128.50/x
  3. Step 3: Cross multiply
    159.60x = 220.10 × 128.50
  4. Step 4: Simplify right side
    159.60x = 28,283.23
  5. Step 5: Solve for x
    x = 28,283.23/159.60
  6. Step 6: Final answer
    x = 177.22

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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.