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Finding the Fourth Proportional to 55.61, 83.38 and 31.58

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Solution

The fourth proportional to 55.61, 83.38 and 31.58 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.61 : 83.38 = 31.58 : x
  2. Step 2: Convert to fraction form
    55.61/83.38 = 31.58/x
  3. Step 3: Cross multiply
    55.61x = 83.38 × 31.58
  4. Step 4: Simplify right side
    55.61x = 2,633.14
  5. Step 5: Solve for x
    x = 2,633.14/55.61
  6. Step 6: Final answer
    x = 47.35

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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.