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Finding the Fourth Proportional to 151.80, 209.47 and 85.40

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Solution

The fourth proportional to 151.80, 209.47 and 85.40 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 209.47 = 85.40 : x
  2. Step 2: Convert to fraction form
    151.80/209.47 = 85.40/x
  3. Step 3: Cross multiply
    151.80x = 209.47 × 85.40
  4. Step 4: Simplify right side
    151.80x = 17,888.74
  5. Step 5: Solve for x
    x = 17,888.74/151.80
  6. Step 6: Final answer
    x = 117.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.