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Finding the Fourth Proportional to 154.65, 232.03 and 57.20

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Solution

The fourth proportional to 154.65, 232.03 and 57.20 is: 85.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.65 : 232.03 = 57.20 : x
  2. Step 2: Convert to fraction form
    154.65/232.03 = 57.20/x
  3. Step 3: Cross multiply
    154.65x = 232.03 × 57.20
  4. Step 4: Simplify right side
    154.65x = 13,271.93
  5. Step 5: Solve for x
    x = 13,271.93/154.65
  6. Step 6: Final answer
    x = 85.82

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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.