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Finding the Fourth Proportional to 56.04, 84.37 and 51.07

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Solution

The fourth proportional to 56.04, 84.37 and 51.07 is: 76.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.04 : 84.37 = 51.07 : x
  2. Step 2: Convert to fraction form
    56.04/84.37 = 51.07/x
  3. Step 3: Cross multiply
    56.04x = 84.37 × 51.07
  4. Step 4: Simplify right side
    56.04x = 4,308.10
  5. Step 5: Solve for x
    x = 4,308.10/56.04
  6. Step 6: Final answer
    x = 76.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.