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Finding the Fourth Proportional to 65.89, 91.20 and 64

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Solution

The fourth proportional to 65.89, 91.20 and 64 is: 88.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.89 : 91.20 = 64 : x
  2. Step 2: Convert to fraction form
    65.89/91.20 = 64/x
  3. Step 3: Cross multiply
    65.89x = 91.20 × 64
  4. Step 4: Simplify right side
    65.89x = 5,836.80
  5. Step 5: Solve for x
    x = 5,836.80/65.89
  6. Step 6: Final answer
    x = 88.58

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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.