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Finding the Fourth Proportional to 154.93, 232.45 and 72.74

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Solution

The fourth proportional to 154.93, 232.45 and 72.74 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.93 : 232.45 = 72.74 : x
  2. Step 2: Convert to fraction form
    154.93/232.45 = 72.74/x
  3. Step 3: Cross multiply
    154.93x = 232.45 × 72.74
  4. Step 4: Simplify right side
    154.93x = 16,907.07
  5. Step 5: Solve for x
    x = 16,907.07/154.93
  6. Step 6: Final answer
    x = 109.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.