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Finding the Fourth Proportional to 65.67, 90.35 and 53.88

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Solution

The fourth proportional to 65.67, 90.35 and 53.88 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 90.35 = 53.88 : x
  2. Step 2: Convert to fraction form
    65.67/90.35 = 53.88/x
  3. Step 3: Cross multiply
    65.67x = 90.35 × 53.88
  4. Step 4: Simplify right side
    65.67x = 4,867.79
  5. Step 5: Solve for x
    x = 4,867.79/65.67
  6. Step 6: Final answer
    x = 74.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.