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Finding the Fourth Proportional to 77.95, 107.42 and 56.08

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Solution

The fourth proportional to 77.95, 107.42 and 56.08 is: 77.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.95 : 107.42 = 56.08 : x
  2. Step 2: Convert to fraction form
    77.95/107.42 = 56.08/x
  3. Step 3: Cross multiply
    77.95x = 107.42 × 56.08
  4. Step 4: Simplify right side
    77.95x = 6,024.11
  5. Step 5: Solve for x
    x = 6,024.11/77.95
  6. Step 6: Final answer
    x = 77.28

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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.