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Finding the Fourth Proportional to 54.23, 74.81 and 45.03

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Solution

The fourth proportional to 54.23, 74.81 and 45.03 is: 62.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.23 : 74.81 = 45.03 : x
  2. Step 2: Convert to fraction form
    54.23/74.81 = 45.03/x
  3. Step 3: Cross multiply
    54.23x = 74.81 × 45.03
  4. Step 4: Simplify right side
    54.23x = 3,368.81
  5. Step 5: Solve for x
    x = 3,368.81/54.23
  6. Step 6: Final answer
    x = 62.12

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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.