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Finding the Fourth Proportional to 54.30, 75.10 and 48.56

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Solution

The fourth proportional to 54.30, 75.10 and 48.56 is: 67.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.30 : 75.10 = 48.56 : x
  2. Step 2: Convert to fraction form
    54.30/75.10 = 48.56/x
  3. Step 3: Cross multiply
    54.30x = 75.10 × 48.56
  4. Step 4: Simplify right side
    54.30x = 3,646.86
  5. Step 5: Solve for x
    x = 3,646.86/54.30
  6. Step 6: Final answer
    x = 67.16

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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.