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Finding the Fourth Proportional to 154.24, 231.29 and 46.00

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Solution

The fourth proportional to 154.24, 231.29 and 46.00 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 231.29 = 46.00 : x
  2. Step 2: Convert to fraction form
    154.24/231.29 = 46.00/x
  3. Step 3: Cross multiply
    154.24x = 231.29 × 46.00
  4. Step 4: Simplify right side
    154.24x = 10,639.57
  5. Step 5: Solve for x
    x = 10,639.57/154.24
  6. Step 6: Final answer
    x = 68.98

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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.