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Finding the Fourth Proportional to 53.76, 74.12 and 42.24

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Solution

The fourth proportional to 53.76, 74.12 and 42.24 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 74.12 = 42.24 : x
  2. Step 2: Convert to fraction form
    53.76/74.12 = 42.24/x
  3. Step 3: Cross multiply
    53.76x = 74.12 × 42.24
  4. Step 4: Simplify right side
    53.76x = 3,130.83
  5. Step 5: Solve for x
    x = 3,130.83/53.76
  6. Step 6: Final answer
    x = 58.24

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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.