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Finding the Fourth Proportional to 153.39, 211.59 and 106.69

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Solution

The fourth proportional to 153.39, 211.59 and 106.69 is: 147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.39 : 211.59 = 106.69 : x
  2. Step 2: Convert to fraction form
    153.39/211.59 = 106.69/x
  3. Step 3: Cross multiply
    153.39x = 211.59 × 106.69
  4. Step 4: Simplify right side
    153.39x = 22,574.70
  5. Step 5: Solve for x
    x = 22,574.70/153.39
  6. Step 6: Final answer
    x = 147.17

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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.