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Finding the Fourth Proportional to 151.42, 209 and 85.95

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Solution

The fourth proportional to 151.42, 209 and 85.95 is: 118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.42 : 209 = 85.95 : x
  2. Step 2: Convert to fraction form
    151.42/209 = 85.95/x
  3. Step 3: Cross multiply
    151.42x = 209 × 85.95
  4. Step 4: Simplify right side
    151.42x = 17,962.51
  5. Step 5: Solve for x
    x = 17,962.51/151.42
  6. Step 6: Final answer
    x = 118.63

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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.