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Finding the Fourth Proportional to 152.07, 209.88 and 86.59

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Solution

The fourth proportional to 152.07, 209.88 and 86.59 is: 119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 209.88 = 86.59 : x
  2. Step 2: Convert to fraction form
    152.07/209.88 = 86.59/x
  3. Step 3: Cross multiply
    152.07x = 209.88 × 86.59
  4. Step 4: Simplify right side
    152.07x = 18,173.08
  5. Step 5: Solve for x
    x = 18,173.08/152.07
  6. Step 6: Final answer
    x = 119.50

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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.