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Finding the Fourth Proportional to 153.76, 212.16 and 88.24

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Solution

The fourth proportional to 153.76, 212.16 and 88.24 is: 121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 212.16 = 88.24 : x
  2. Step 2: Convert to fraction form
    153.76/212.16 = 88.24/x
  3. Step 3: Cross multiply
    153.76x = 212.16 × 88.24
  4. Step 4: Simplify right side
    153.76x = 18,721.00
  5. Step 5: Solve for x
    x = 18,721.00/153.76
  6. Step 6: Final answer
    x = 121.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.