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Finding the Fourth Proportional to 135.74, 203.56 and 62.64

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Solution

The fourth proportional to 135.74, 203.56 and 62.64 is: 93.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 203.56 = 62.64 : x
  2. Step 2: Convert to fraction form
    135.74/203.56 = 62.64/x
  3. Step 3: Cross multiply
    135.74x = 203.56 × 62.64
  4. Step 4: Simplify right side
    135.74x = 12,751.00
  5. Step 5: Solve for x
    x = 12,751.00/135.74
  6. Step 6: Final answer
    x = 93.94

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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.