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Finding the Fourth Proportional to 65.93, 90.28 and 63.20

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Solution

The fourth proportional to 65.93, 90.28 and 63.20 is: 86.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.93 : 90.28 = 63.20 : x
  2. Step 2: Convert to fraction form
    65.93/90.28 = 63.20/x
  3. Step 3: Cross multiply
    65.93x = 90.28 × 63.20
  4. Step 4: Simplify right side
    65.93x = 5,705.70
  5. Step 5: Solve for x
    x = 5,705.70/65.93
  6. Step 6: Final answer
    x = 86.54

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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.