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Finding the Fourth Proportional to 151.77, 209.47 and 89.60

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Solution

The fourth proportional to 151.77, 209.47 and 89.60 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.77 : 209.47 = 89.60 : x
  2. Step 2: Convert to fraction form
    151.77/209.47 = 89.60/x
  3. Step 3: Cross multiply
    151.77x = 209.47 × 89.60
  4. Step 4: Simplify right side
    151.77x = 18,767.24
  5. Step 5: Solve for x
    x = 18,767.24/151.77
  6. Step 6: Final answer
    x = 123.66

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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.