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Finding the Fourth Proportional to 73.71, 110.61 and 37.64

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Solution

The fourth proportional to 73.71, 110.61 and 37.64 is: 56.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.71 : 110.61 = 37.64 : x
  2. Step 2: Convert to fraction form
    73.71/110.61 = 37.64/x
  3. Step 3: Cross multiply
    73.71x = 110.61 × 37.64
  4. Step 4: Simplify right side
    73.71x = 4,162.81
  5. Step 5: Solve for x
    x = 4,162.81/73.71
  6. Step 6: Final answer
    x = 56.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.