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Finding the Fourth Proportional to 65.03, 97.67 and 54.35

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Solution

The fourth proportional to 65.03, 97.67 and 54.35 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.03 : 97.67 = 54.35 : x
  2. Step 2: Convert to fraction form
    65.03/97.67 = 54.35/x
  3. Step 3: Cross multiply
    65.03x = 97.67 × 54.35
  4. Step 4: Simplify right side
    65.03x = 5,307.60
  5. Step 5: Solve for x
    x = 5,307.60/65.03
  6. Step 6: Final answer
    x = 81.62

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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.