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Finding the Fourth Proportional to 53.87, 74.40 and 47.84

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Solution

The fourth proportional to 53.87, 74.40 and 47.84 is: 66.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.87 : 74.40 = 47.84 : x
  2. Step 2: Convert to fraction form
    53.87/74.40 = 47.84/x
  3. Step 3: Cross multiply
    53.87x = 74.40 × 47.84
  4. Step 4: Simplify right side
    53.87x = 3,559.30
  5. Step 5: Solve for x
    x = 3,559.30/53.87
  6. Step 6: Final answer
    x = 66.07

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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.