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Finding the Fourth Proportional to 54.34, 75.03 and 40.67

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Solution

The fourth proportional to 54.34, 75.03 and 40.67 is: 56.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 75.03 = 40.67 : x
  2. Step 2: Convert to fraction form
    54.34/75.03 = 40.67/x
  3. Step 3: Cross multiply
    54.34x = 75.03 × 40.67
  4. Step 4: Simplify right side
    54.34x = 3,051.47
  5. Step 5: Solve for x
    x = 3,051.47/54.34
  6. Step 6: Final answer
    x = 56.16

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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.