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Finding the Fourth Proportional to 117, 161.06 and 89.32

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Solution

The fourth proportional to 117, 161.06 and 89.32 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 161.06 = 89.32 : x
  2. Step 2: Convert to fraction form
    117/161.06 = 89.32/x
  3. Step 3: Cross multiply
    117x = 161.06 × 89.32
  4. Step 4: Simplify right side
    117x = 14,385.88
  5. Step 5: Solve for x
    x = 14,385.88/117
  6. Step 6: Final answer
    x = 122.96

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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.