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Finding the Fourth Proportional to 135.62, 203.52 and 58.64

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Solution

The fourth proportional to 135.62, 203.52 and 58.64 is: 87.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.62 : 203.52 = 58.64 : x
  2. Step 2: Convert to fraction form
    135.62/203.52 = 58.64/x
  3. Step 3: Cross multiply
    135.62x = 203.52 × 58.64
  4. Step 4: Simplify right side
    135.62x = 11,933.10
  5. Step 5: Solve for x
    x = 11,933.10/135.62
  6. Step 6: Final answer
    x = 87.99

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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.