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Finding the Fourth Proportional to 65.02, 97.49 and 19.36

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Solution

The fourth proportional to 65.02, 97.49 and 19.36 is: 29.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 97.49 = 19.36 : x
  2. Step 2: Convert to fraction form
    65.02/97.49 = 19.36/x
  3. Step 3: Cross multiply
    65.02x = 97.49 × 19.36
  4. Step 4: Simplify right side
    65.02x = 1,887.03
  5. Step 5: Solve for x
    x = 1,887.03/65.02
  6. Step 6: Final answer
    x = 29.02

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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.