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Finding the Fourth Proportional to 88.06, 131.97 and 45.22

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Solution

The fourth proportional to 88.06, 131.97 and 45.22 is: 67.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.06 : 131.97 = 45.22 : x
  2. Step 2: Convert to fraction form
    88.06/131.97 = 45.22/x
  3. Step 3: Cross multiply
    88.06x = 131.97 × 45.22
  4. Step 4: Simplify right side
    88.06x = 5,967.68
  5. Step 5: Solve for x
    x = 5,967.68/88.06
  6. Step 6: Final answer
    x = 67.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.