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Finding the Fourth Proportional to 45.30, 68.04 and 45.23

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Solution

The fourth proportional to 45.30, 68.04 and 45.23 is: 67.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.30 : 68.04 = 45.23 : x
  2. Step 2: Convert to fraction form
    45.30/68.04 = 45.23/x
  3. Step 3: Cross multiply
    45.30x = 68.04 × 45.23
  4. Step 4: Simplify right side
    45.30x = 3,077.11
  5. Step 5: Solve for x
    x = 3,077.11/45.30
  6. Step 6: Final answer
    x = 67.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.