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Finding the Fourth Proportional to 56.07, 77.19 and 42.23

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Solution

The fourth proportional to 56.07, 77.19 and 42.23 is: 58.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.07 : 77.19 = 42.23 : x
  2. Step 2: Convert to fraction form
    56.07/77.19 = 42.23/x
  3. Step 3: Cross multiply
    56.07x = 77.19 × 42.23
  4. Step 4: Simplify right side
    56.07x = 3,259.73
  5. Step 5: Solve for x
    x = 3,259.73/56.07
  6. Step 6: Final answer
    x = 58.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.