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Finding the Fourth Proportional to 55.64, 83.46 and 35.38

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Solution

The fourth proportional to 55.64, 83.46 and 35.38 is: 53.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.64 : 83.46 = 35.38 : x
  2. Step 2: Convert to fraction form
    55.64/83.46 = 35.38/x
  3. Step 3: Cross multiply
    55.64x = 83.46 × 35.38
  4. Step 4: Simplify right side
    55.64x = 2,952.81
  5. Step 5: Solve for x
    x = 2,952.81/55.64
  6. Step 6: Final answer
    x = 53.07

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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.