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Finding the Fourth Proportional to 90.35, 135.53 and 32.57

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Solution

The fourth proportional to 90.35, 135.53 and 32.57 is: 48.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.35 : 135.53 = 32.57 : x
  2. Step 2: Convert to fraction form
    90.35/135.53 = 32.57/x
  3. Step 3: Cross multiply
    90.35x = 135.53 × 32.57
  4. Step 4: Simplify right side
    90.35x = 4,413.37
  5. Step 5: Solve for x
    x = 4,413.37/90.35
  6. Step 6: Final answer
    x = 48.85

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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.