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Finding the Fourth Proportional to 133.59, 200.37 and 65.06

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Solution

The fourth proportional to 133.59, 200.37 and 65.06 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.59 : 200.37 = 65.06 : x
  2. Step 2: Convert to fraction form
    133.59/200.37 = 65.06/x
  3. Step 3: Cross multiply
    133.59x = 200.37 × 65.06
  4. Step 4: Simplify right side
    133.59x = 13,036.07
  5. Step 5: Solve for x
    x = 13,036.07/133.59
  6. Step 6: Final answer
    x = 97.58

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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.