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Finding the Fourth Proportional to 65.40, 98.16 and 51.84

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Solution

The fourth proportional to 65.40, 98.16 and 51.84 is: 77.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.40 : 98.16 = 51.84 : x
  2. Step 2: Convert to fraction form
    65.40/98.16 = 51.84/x
  3. Step 3: Cross multiply
    65.40x = 98.16 × 51.84
  4. Step 4: Simplify right side
    65.40x = 5,088.61
  5. Step 5: Solve for x
    x = 5,088.61/65.40
  6. Step 6: Final answer
    x = 77.81

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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.