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Finding the Fourth Proportional to 53.73, 74.16 and 40.77

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Solution

The fourth proportional to 53.73, 74.16 and 40.77 is: 56.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.73 : 74.16 = 40.77 : x
  2. Step 2: Convert to fraction form
    53.73/74.16 = 40.77/x
  3. Step 3: Cross multiply
    53.73x = 74.16 × 40.77
  4. Step 4: Simplify right side
    53.73x = 3,023.50
  5. Step 5: Solve for x
    x = 3,023.50/53.73
  6. Step 6: Final answer
    x = 56.27

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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.