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Finding the Fourth Proportional to 153.08, 211.29 and 106.46

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Solution

The fourth proportional to 153.08, 211.29 and 106.46 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.08 : 211.29 = 106.46 : x
  2. Step 2: Convert to fraction form
    153.08/211.29 = 106.46/x
  3. Step 3: Cross multiply
    153.08x = 211.29 × 106.46
  4. Step 4: Simplify right side
    153.08x = 22,493.93
  5. Step 5: Solve for x
    x = 22,493.93/153.08
  6. Step 6: Final answer
    x = 146.94

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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.