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Finding the Fourth Proportional to 160, 240 and 51.80

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Solution

The fourth proportional to 160, 240 and 51.80 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 240 = 51.80 : x
  2. Step 2: Convert to fraction form
    160/240 = 51.80/x
  3. Step 3: Cross multiply
    160x = 240 × 51.80
  4. Step 4: Simplify right side
    160x = 12,432
  5. Step 5: Solve for x
    x = 12,432/160
  6. Step 6: Final answer
    x = 77.70

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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.