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Finding the Fourth Proportional to 90.54, 125.10 and 86.58

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Solution

The fourth proportional to 90.54, 125.10 and 86.58 is: 119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.54 : 125.10 = 86.58 : x
  2. Step 2: Convert to fraction form
    90.54/125.10 = 86.58/x
  3. Step 3: Cross multiply
    90.54x = 125.10 × 86.58
  4. Step 4: Simplify right side
    90.54x = 10,831.16
  5. Step 5: Solve for x
    x = 10,831.16/90.54
  6. Step 6: Final answer
    x = 119.63

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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.