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Finding the Fourth Proportional to 134.00, 200.85 and 65.38

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Solution

The fourth proportional to 134.00, 200.85 and 65.38 is: 97.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.00 : 200.85 = 65.38 : x
  2. Step 2: Convert to fraction form
    134.00/200.85 = 65.38/x
  3. Step 3: Cross multiply
    134.00x = 200.85 × 65.38
  4. Step 4: Simplify right side
    134.00x = 13,130.24
  5. Step 5: Solve for x
    x = 13,130.24/134.00
  6. Step 6: Final answer
    x = 97.99

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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.