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Finding the Fourth Proportional to 117.98, 163.02 and 90.29

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Solution

The fourth proportional to 117.98, 163.02 and 90.29 is: 124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 163.02 = 90.29 : x
  2. Step 2: Convert to fraction form
    117.98/163.02 = 90.29/x
  3. Step 3: Cross multiply
    117.98x = 163.02 × 90.29
  4. Step 4: Simplify right side
    117.98x = 14,719.08
  5. Step 5: Solve for x
    x = 14,719.08/117.98
  6. Step 6: Final answer
    x = 124.76

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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.