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Finding the Fourth Proportional to 153.17, 229.60 and 72.06

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Solution

The fourth proportional to 153.17, 229.60 and 72.06 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.17 : 229.60 = 72.06 : x
  2. Step 2: Convert to fraction form
    153.17/229.60 = 72.06/x
  3. Step 3: Cross multiply
    153.17x = 229.60 × 72.06
  4. Step 4: Simplify right side
    153.17x = 16,544.98
  5. Step 5: Solve for x
    x = 16,544.98/153.17
  6. Step 6: Final answer
    x = 108.02

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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.