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Finding the Fourth Proportional to 160.50, 240.75 and 57.80

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Solution

The fourth proportional to 160.50, 240.75 and 57.80 is: 86.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.50 : 240.75 = 57.80 : x
  2. Step 2: Convert to fraction form
    160.50/240.75 = 57.80/x
  3. Step 3: Cross multiply
    160.50x = 240.75 × 57.80
  4. Step 4: Simplify right side
    160.50x = 13,915.35
  5. Step 5: Solve for x
    x = 13,915.35/160.50
  6. Step 6: Final answer
    x = 86.70

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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.