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Finding the Fourth Proportional to 56.06, 77.33 and 34.19

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Solution

The fourth proportional to 56.06, 77.33 and 34.19 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 77.33 = 34.19 : x
  2. Step 2: Convert to fraction form
    56.06/77.33 = 34.19/x
  3. Step 3: Cross multiply
    56.06x = 77.33 × 34.19
  4. Step 4: Simplify right side
    56.06x = 2,643.36
  5. Step 5: Solve for x
    x = 2,643.36/56.06
  6. Step 6: Final answer
    x = 47.16

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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.