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Finding the Fourth Proportional to 153.06, 229.60 and 61.76

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Solution

The fourth proportional to 153.06, 229.60 and 61.76 is: 92.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 229.60 = 61.76 : x
  2. Step 2: Convert to fraction form
    153.06/229.60 = 61.76/x
  3. Step 3: Cross multiply
    153.06x = 229.60 × 61.76
  4. Step 4: Simplify right side
    153.06x = 14,180.75
  5. Step 5: Solve for x
    x = 14,180.75/153.06
  6. Step 6: Final answer
    x = 92.65

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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.