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Finding the Fourth Proportional to 37.17, 55.42 and 35.03

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Solution

The fourth proportional to 37.17, 55.42 and 35.03 is: 52.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.17 : 55.42 = 35.03 : x
  2. Step 2: Convert to fraction form
    37.17/55.42 = 35.03/x
  3. Step 3: Cross multiply
    37.17x = 55.42 × 35.03
  4. Step 4: Simplify right side
    37.17x = 1,941.41
  5. Step 5: Solve for x
    x = 1,941.41/37.17
  6. Step 6: Final answer
    x = 52.23

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Why These Related Problems?

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