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Finding the Fourth Proportional to 154.17, 230.92 and 72.77

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Solution

The fourth proportional to 154.17, 230.92 and 72.77 is: 108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 230.92 = 72.77 : x
  2. Step 2: Convert to fraction form
    154.17/230.92 = 72.77/x
  3. Step 3: Cross multiply
    154.17x = 230.92 × 72.77
  4. Step 4: Simplify right side
    154.17x = 16,802.71
  5. Step 5: Solve for x
    x = 16,802.71/154.17
  6. Step 6: Final answer
    x = 108.99

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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.