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Finding the Fourth Proportional to 154.32, 231.49 and 58.13

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Solution

The fourth proportional to 154.32, 231.49 and 58.13 is: 87.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.32 : 231.49 = 58.13 : x
  2. Step 2: Convert to fraction form
    154.32/231.49 = 58.13/x
  3. Step 3: Cross multiply
    154.32x = 231.49 × 58.13
  4. Step 4: Simplify right side
    154.32x = 13,455.07
  5. Step 5: Solve for x
    x = 13,455.07/154.32
  6. Step 6: Final answer
    x = 87.19

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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.