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Finding the Fourth Proportional to 65.96, 98.76 and 45.60

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Solution

The fourth proportional to 65.96, 98.76 and 45.60 is: 68.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.96 : 98.76 = 45.60 : x
  2. Step 2: Convert to fraction form
    65.96/98.76 = 45.60/x
  3. Step 3: Cross multiply
    65.96x = 98.76 × 45.60
  4. Step 4: Simplify right side
    65.96x = 4,503.46
  5. Step 5: Solve for x
    x = 4,503.46/65.96
  6. Step 6: Final answer
    x = 68.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.