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Finding the Fourth Proportional to 54.96, 75.78 and 40.40

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Solution

The fourth proportional to 54.96, 75.78 and 40.40 is: 55.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.96 : 75.78 = 40.40 : x
  2. Step 2: Convert to fraction form
    54.96/75.78 = 40.40/x
  3. Step 3: Cross multiply
    54.96x = 75.78 × 40.40
  4. Step 4: Simplify right side
    54.96x = 3,061.51
  5. Step 5: Solve for x
    x = 3,061.51/54.96
  6. Step 6: Final answer
    x = 55.70

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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.