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Finding the Fourth Proportional to 160.59, 240.89 and 52.40

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Solution

The fourth proportional to 160.59, 240.89 and 52.40 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 240.89 = 52.40 : x
  2. Step 2: Convert to fraction form
    160.59/240.89 = 52.40/x
  3. Step 3: Cross multiply
    160.59x = 240.89 × 52.40
  4. Step 4: Simplify right side
    160.59x = 12,621.17
  5. Step 5: Solve for x
    x = 12,621.17/160.59
  6. Step 6: Final answer
    x = 78.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.