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Finding the Fourth Proportional to 81.54, 112.37 and 71.06

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Solution

The fourth proportional to 81.54, 112.37 and 71.06 is: 97.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.54 : 112.37 = 71.06 : x
  2. Step 2: Convert to fraction form
    81.54/112.37 = 71.06/x
  3. Step 3: Cross multiply
    81.54x = 112.37 × 71.06
  4. Step 4: Simplify right side
    81.54x = 7,985.01
  5. Step 5: Solve for x
    x = 7,985.01/81.54
  6. Step 6: Final answer
    x = 97.93

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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.