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Finding the Fourth Proportional to 55.53, 83.61 and 45.88

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Solution

The fourth proportional to 55.53, 83.61 and 45.88 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.53 : 83.61 = 45.88 : x
  2. Step 2: Convert to fraction form
    55.53/83.61 = 45.88/x
  3. Step 3: Cross multiply
    55.53x = 83.61 × 45.88
  4. Step 4: Simplify right side
    55.53x = 3,836.03
  5. Step 5: Solve for x
    x = 3,836.03/55.53
  6. Step 6: Final answer
    x = 69.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.