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Finding the Fourth Proportional to 81.45, 112.35 and 65.13

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Solution

The fourth proportional to 81.45, 112.35 and 65.13 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.45 : 112.35 = 65.13 : x
  2. Step 2: Convert to fraction form
    81.45/112.35 = 65.13/x
  3. Step 3: Cross multiply
    81.45x = 112.35 × 65.13
  4. Step 4: Simplify right side
    81.45x = 7,317.36
  5. Step 5: Solve for x
    x = 7,317.36/81.45
  6. Step 6: Final answer
    x = 89.84

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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.