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Finding the Fourth Proportional to 90.37, 135.47 and 56.03

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Solution

The fourth proportional to 90.37, 135.47 and 56.03 is: 83.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.37 : 135.47 = 56.03 : x
  2. Step 2: Convert to fraction form
    90.37/135.47 = 56.03/x
  3. Step 3: Cross multiply
    90.37x = 135.47 × 56.03
  4. Step 4: Simplify right side
    90.37x = 7,589.85
  5. Step 5: Solve for x
    x = 7,589.85/90.37
  6. Step 6: Final answer
    x = 83.99

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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.