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Finding the Fourth Proportional to 153.84, 212.25 and 104.63

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Solution

The fourth proportional to 153.84, 212.25 and 104.63 is: 144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 212.25 = 104.63 : x
  2. Step 2: Convert to fraction form
    153.84/212.25 = 104.63/x
  3. Step 3: Cross multiply
    153.84x = 212.25 × 104.63
  4. Step 4: Simplify right side
    153.84x = 22,208.64
  5. Step 5: Solve for x
    x = 22,208.64/153.84
  6. Step 6: Final answer
    x = 144.36

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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.