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Finding the Fourth Proportional to 54.31, 74.95 and 46.57

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Solution

The fourth proportional to 54.31, 74.95 and 46.57 is: 64.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.31 : 74.95 = 46.57 : x
  2. Step 2: Convert to fraction form
    54.31/74.95 = 46.57/x
  3. Step 3: Cross multiply
    54.31x = 74.95 × 46.57
  4. Step 4: Simplify right side
    54.31x = 3,490.18
  5. Step 5: Solve for x
    x = 3,490.18/54.31
  6. Step 6: Final answer
    x = 64.26

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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.