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Finding the Fourth Proportional to 65.88, 99 and 65.88

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Solution

The fourth proportional to 65.88, 99 and 65.88 is: 99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.88 : 99 = 65.88 : x
  2. Step 2: Convert to fraction form
    65.88/99 = 65.88/x
  3. Step 3: Cross multiply
    65.88x = 99 × 65.88
  4. Step 4: Simplify right side
    65.88x = 6,522.12
  5. Step 5: Solve for x
    x = 6,522.12/65.88
  6. Step 6: Final answer
    x = 99

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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.