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Finding the Fourth Proportional to 56.66, 84.64 and 37.24

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Solution

The fourth proportional to 56.66, 84.64 and 37.24 is: 55.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.66 : 84.64 = 37.24 : x
  2. Step 2: Convert to fraction form
    56.66/84.64 = 37.24/x
  3. Step 3: Cross multiply
    56.66x = 84.64 × 37.24
  4. Step 4: Simplify right side
    56.66x = 3,151.99
  5. Step 5: Solve for x
    x = 3,151.99/56.66
  6. Step 6: Final answer
    x = 55.63

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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.