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Finding the Fourth Proportional to 154.90, 232.38 and 57.42

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Solution

The fourth proportional to 154.90, 232.38 and 57.42 is: 86.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 232.38 = 57.42 : x
  2. Step 2: Convert to fraction form
    154.90/232.38 = 57.42/x
  3. Step 3: Cross multiply
    154.90x = 232.38 × 57.42
  4. Step 4: Simplify right side
    154.90x = 13,343.26
  5. Step 5: Solve for x
    x = 13,343.26/154.90
  6. Step 6: Final answer
    x = 86.14

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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.