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Finding the Fourth Proportional to 154.03, 230.93 and 72.77

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Solution

The fourth proportional to 154.03, 230.93 and 72.77 is: 109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.03 : 230.93 = 72.77 : x
  2. Step 2: Convert to fraction form
    154.03/230.93 = 72.77/x
  3. Step 3: Cross multiply
    154.03x = 230.93 × 72.77
  4. Step 4: Simplify right side
    154.03x = 16,805.27
  5. Step 5: Solve for x
    x = 16,805.27/154.03
  6. Step 6: Final answer
    x = 109.11

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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.