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Finding the Fourth Proportional to 65.08, 97.38 and 55.48

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Solution

The fourth proportional to 65.08, 97.38 and 55.48 is: 83.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.08 : 97.38 = 55.48 : x
  2. Step 2: Convert to fraction form
    65.08/97.38 = 55.48/x
  3. Step 3: Cross multiply
    65.08x = 97.38 × 55.48
  4. Step 4: Simplify right side
    65.08x = 5,402.64
  5. Step 5: Solve for x
    x = 5,402.64/65.08
  6. Step 6: Final answer
    x = 83.02

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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.