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Finding the Fourth Proportional to 65.84, 99.26 and 53.96

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Solution

The fourth proportional to 65.84, 99.26 and 53.96 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.84 : 99.26 = 53.96 : x
  2. Step 2: Convert to fraction form
    65.84/99.26 = 53.96/x
  3. Step 3: Cross multiply
    65.84x = 99.26 × 53.96
  4. Step 4: Simplify right side
    65.84x = 5,356.07
  5. Step 5: Solve for x
    x = 5,356.07/65.84
  6. Step 6: Final answer
    x = 81.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.