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Finding the Fourth Proportional to 90.68, 125.01 and 64.43

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Solution

The fourth proportional to 90.68, 125.01 and 64.43 is: 88.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.68 : 125.01 = 64.43 : x
  2. Step 2: Convert to fraction form
    90.68/125.01 = 64.43/x
  3. Step 3: Cross multiply
    90.68x = 125.01 × 64.43
  4. Step 4: Simplify right side
    90.68x = 8,054.39
  5. Step 5: Solve for x
    x = 8,054.39/90.68
  6. Step 6: Final answer
    x = 88.82

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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.