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Finding the Fourth Proportional to 153.74, 212.16 and 90.74

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Solution

The fourth proportional to 153.74, 212.16 and 90.74 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 212.16 = 90.74 : x
  2. Step 2: Convert to fraction form
    153.74/212.16 = 90.74/x
  3. Step 3: Cross multiply
    153.74x = 212.16 × 90.74
  4. Step 4: Simplify right side
    153.74x = 19,251.40
  5. Step 5: Solve for x
    x = 19,251.40/153.74
  6. Step 6: Final answer
    x = 125.22

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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.