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Finding the Fourth Proportional to 55.74, 83.15 and 47.23

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Solution

The fourth proportional to 55.74, 83.15 and 47.23 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 83.15 = 47.23 : x
  2. Step 2: Convert to fraction form
    55.74/83.15 = 47.23/x
  3. Step 3: Cross multiply
    55.74x = 83.15 × 47.23
  4. Step 4: Simplify right side
    55.74x = 3,927.51
  5. Step 5: Solve for x
    x = 3,927.51/55.74
  6. Step 6: Final answer
    x = 70.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.