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Finding the Fourth Proportional to 117.89, 162.85 and 90.21

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Solution

The fourth proportional to 117.89, 162.85 and 90.21 is: 124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.89 : 162.85 = 90.21 : x
  2. Step 2: Convert to fraction form
    117.89/162.85 = 90.21/x
  3. Step 3: Cross multiply
    117.89x = 162.85 × 90.21
  4. Step 4: Simplify right side
    117.89x = 14,691.13
  5. Step 5: Solve for x
    x = 14,691.13/117.89
  6. Step 6: Final answer
    x = 124.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.