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Finding the Fourth Proportional to 65.25, 89.82 and 59.40

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Solution

The fourth proportional to 65.25, 89.82 and 59.40 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 89.82 = 59.40 : x
  2. Step 2: Convert to fraction form
    65.25/89.82 = 59.40/x
  3. Step 3: Cross multiply
    65.25x = 89.82 × 59.40
  4. Step 4: Simplify right side
    65.25x = 5,335.31
  5. Step 5: Solve for x
    x = 5,335.31/65.25
  6. Step 6: Final answer
    x = 81.77

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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.