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Finding the Fourth Proportional to 135.63, 202.91 and 90.02

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Solution

The fourth proportional to 135.63, 202.91 and 90.02 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 202.91 = 90.02 : x
  2. Step 2: Convert to fraction form
    135.63/202.91 = 90.02/x
  3. Step 3: Cross multiply
    135.63x = 202.91 × 90.02
  4. Step 4: Simplify right side
    135.63x = 18,264.49
  5. Step 5: Solve for x
    x = 18,264.49/135.63
  6. Step 6: Final answer
    x = 134.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.