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Finding the Fourth Proportional to 56.02, 84.02 and 37.45

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Solution

The fourth proportional to 56.02, 84.02 and 37.45 is: 56.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.02 : 84.02 = 37.45 : x
  2. Step 2: Convert to fraction form
    56.02/84.02 = 37.45/x
  3. Step 3: Cross multiply
    56.02x = 84.02 × 37.45
  4. Step 4: Simplify right side
    56.02x = 3,146.31
  5. Step 5: Solve for x
    x = 3,146.31/56.02
  6. Step 6: Final answer
    x = 56.17

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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.