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Finding the Fourth Proportional to 55.40, 82.98 and 37.99

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Solution

The fourth proportional to 55.40, 82.98 and 37.99 is: 56.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 82.98 = 37.99 : x
  2. Step 2: Convert to fraction form
    55.40/82.98 = 37.99/x
  3. Step 3: Cross multiply
    55.40x = 82.98 × 37.99
  4. Step 4: Simplify right side
    55.40x = 3,152.20
  5. Step 5: Solve for x
    x = 3,152.20/55.40
  6. Step 6: Final answer
    x = 56.90

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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.