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Finding the Fourth Proportional to 135.76, 203.58 and 63.52

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Solution

The fourth proportional to 135.76, 203.58 and 63.52 is: 95.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.76 : 203.58 = 63.52 : x
  2. Step 2: Convert to fraction form
    135.76/203.58 = 63.52/x
  3. Step 3: Cross multiply
    135.76x = 203.58 × 63.52
  4. Step 4: Simplify right side
    135.76x = 12,931.40
  5. Step 5: Solve for x
    x = 12,931.40/135.76
  6. Step 6: Final answer
    x = 95.25

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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.