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Finding the Fourth Proportional to 65.12, 89.32 and 64.46

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Solution

The fourth proportional to 65.12, 89.32 and 64.46 is: 88.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 89.32 = 64.46 : x
  2. Step 2: Convert to fraction form
    65.12/89.32 = 64.46/x
  3. Step 3: Cross multiply
    65.12x = 89.32 × 64.46
  4. Step 4: Simplify right side
    65.12x = 5,757.57
  5. Step 5: Solve for x
    x = 5,757.57/65.12
  6. Step 6: Final answer
    x = 88.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.