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Finding the Fourth Proportional to 117.48, 162.01 and 80.57

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Solution

The fourth proportional to 117.48, 162.01 and 80.57 is: 111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 162.01 = 80.57 : x
  2. Step 2: Convert to fraction form
    117.48/162.01 = 80.57/x
  3. Step 3: Cross multiply
    117.48x = 162.01 × 80.57
  4. Step 4: Simplify right side
    117.48x = 13,053.15
  5. Step 5: Solve for x
    x = 13,053.15/117.48
  6. Step 6: Final answer
    x = 111.11

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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.