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Finding the Fourth Proportional to 65.82, 99.35 and 65.82

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Solution

The fourth proportional to 65.82, 99.35 and 65.82 is: 99.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 99.35 = 65.82 : x
  2. Step 2: Convert to fraction form
    65.82/99.35 = 65.82/x
  3. Step 3: Cross multiply
    65.82x = 99.35 × 65.82
  4. Step 4: Simplify right side
    65.82x = 6,538.52
  5. Step 5: Solve for x
    x = 6,538.52/65.82
  6. Step 6: Final answer
    x = 99.35

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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.