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Finding the Fourth Proportional to 65.30, 89.96 and 62.25

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Solution

The fourth proportional to 65.30, 89.96 and 62.25 is: 85.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.30 : 89.96 = 62.25 : x
  2. Step 2: Convert to fraction form
    65.30/89.96 = 62.25/x
  3. Step 3: Cross multiply
    65.30x = 89.96 × 62.25
  4. Step 4: Simplify right side
    65.30x = 5,599.70
  5. Step 5: Solve for x
    x = 5,599.70/65.30
  6. Step 6: Final answer
    x = 85.76

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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.