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Finding the Fourth Proportional to 117.59, 162.23 and 65.84

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Solution

The fourth proportional to 117.59, 162.23 and 65.84 is: 90.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.59 : 162.23 = 65.84 : x
  2. Step 2: Convert to fraction form
    117.59/162.23 = 65.84/x
  3. Step 3: Cross multiply
    117.59x = 162.23 × 65.84
  4. Step 4: Simplify right side
    117.59x = 10,680.08
  5. Step 5: Solve for x
    x = 10,680.08/117.59
  6. Step 6: Final answer
    x = 90.83

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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.