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Finding the Fourth Proportional to 159.93, 240 and 57.22

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Solution

The fourth proportional to 159.93, 240 and 57.22 is: 85.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 240 = 57.22 : x
  2. Step 2: Convert to fraction form
    159.93/240 = 57.22/x
  3. Step 3: Cross multiply
    159.93x = 240 × 57.22
  4. Step 4: Simplify right side
    159.93x = 13,731.60
  5. Step 5: Solve for x
    x = 13,731.60/159.93
  6. Step 6: Final answer
    x = 85.86

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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.