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Finding the Fourth Proportional to 90.48, 135.64 and 36.35

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Solution

The fourth proportional to 90.48, 135.64 and 36.35 is: 54.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.48 : 135.64 = 36.35 : x
  2. Step 2: Convert to fraction form
    90.48/135.64 = 36.35/x
  3. Step 3: Cross multiply
    90.48x = 135.64 × 36.35
  4. Step 4: Simplify right side
    90.48x = 4,930.51
  5. Step 5: Solve for x
    x = 4,930.51/90.48
  6. Step 6: Final answer
    x = 54.49

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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.