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Finding the Fourth Proportional to 117.89, 162.57 and 71.27

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Solution

The fourth proportional to 117.89, 162.57 and 71.27 is: 98.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.89 : 162.57 = 71.27 : x
  2. Step 2: Convert to fraction form
    117.89/162.57 = 71.27/x
  3. Step 3: Cross multiply
    117.89x = 162.57 × 71.27
  4. Step 4: Simplify right side
    117.89x = 11,586.36
  5. Step 5: Solve for x
    x = 11,586.36/117.89
  6. Step 6: Final answer
    x = 98.28

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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.