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Finding the Fourth Proportional to 53.76, 74.14 and 33.02

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Solution

The fourth proportional to 53.76, 74.14 and 33.02 is: 45.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 74.14 = 33.02 : x
  2. Step 2: Convert to fraction form
    53.76/74.14 = 33.02/x
  3. Step 3: Cross multiply
    53.76x = 74.14 × 33.02
  4. Step 4: Simplify right side
    53.76x = 2,448.12
  5. Step 5: Solve for x
    x = 2,448.12/53.76
  6. Step 6: Final answer
    x = 45.53

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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.