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Finding the Fourth Proportional to 90.80, 135.88 and 56.32

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Solution

The fourth proportional to 90.80, 135.88 and 56.32 is: 84.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.80 : 135.88 = 56.32 : x
  2. Step 2: Convert to fraction form
    90.80/135.88 = 56.32/x
  3. Step 3: Cross multiply
    90.80x = 135.88 × 56.32
  4. Step 4: Simplify right side
    90.80x = 7,652.76
  5. Step 5: Solve for x
    x = 7,652.76/90.80
  6. Step 6: Final answer
    x = 84.28

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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.