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Finding the Fourth Proportional to 154.04, 212.50 and 104.92

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Solution

The fourth proportional to 154.04, 212.50 and 104.92 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.04 : 212.50 = 104.92 : x
  2. Step 2: Convert to fraction form
    154.04/212.50 = 104.92/x
  3. Step 3: Cross multiply
    154.04x = 212.50 × 104.92
  4. Step 4: Simplify right side
    154.04x = 22,295.50
  5. Step 5: Solve for x
    x = 22,295.50/154.04
  6. Step 6: Final answer
    x = 144.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.