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Finding the Fourth Proportional to 203.93, 305.89 and 59.65

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Solution

The fourth proportional to 203.93, 305.89 and 59.65 is: 89.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 305.89 = 59.65 : x
  2. Step 2: Convert to fraction form
    203.93/305.89 = 59.65/x
  3. Step 3: Cross multiply
    203.93x = 305.89 × 59.65
  4. Step 4: Simplify right side
    203.93x = 18,244.81
  5. Step 5: Solve for x
    x = 18,244.81/203.93
  6. Step 6: Final answer
    x = 89.47

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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.