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Finding the Fourth Proportional to 153.84, 212.38 and 104.70

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Solution

The fourth proportional to 153.84, 212.38 and 104.70 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 212.38 = 104.70 : x
  2. Step 2: Convert to fraction form
    153.84/212.38 = 104.70/x
  3. Step 3: Cross multiply
    153.84x = 212.38 × 104.70
  4. Step 4: Simplify right side
    153.84x = 22,236.19
  5. Step 5: Solve for x
    x = 22,236.19/153.84
  6. Step 6: Final answer
    x = 144.54

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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.