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Finding the Fourth Proportional to 53.87, 74.25 and 46.44

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Solution

The fourth proportional to 53.87, 74.25 and 46.44 is: 64.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.87 : 74.25 = 46.44 : x
  2. Step 2: Convert to fraction form
    53.87/74.25 = 46.44/x
  3. Step 3: Cross multiply
    53.87x = 74.25 × 46.44
  4. Step 4: Simplify right side
    53.87x = 3,448.17
  5. Step 5: Solve for x
    x = 3,448.17/53.87
  6. Step 6: Final answer
    x = 64.02

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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.