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Finding the Fourth Proportional to 86.47, 119.06 and 70.15

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Solution

The fourth proportional to 86.47, 119.06 and 70.15 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.47 : 119.06 = 70.15 : x
  2. Step 2: Convert to fraction form
    86.47/119.06 = 70.15/x
  3. Step 3: Cross multiply
    86.47x = 119.06 × 70.15
  4. Step 4: Simplify right side
    86.47x = 8,351.71
  5. Step 5: Solve for x
    x = 8,351.71/86.47
  6. Step 6: Final answer
    x = 96.59

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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.