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Finding the Fourth Proportional to 52.24, 78.06 and 45.04

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Solution

The fourth proportional to 52.24, 78.06 and 45.04 is: 67.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 78.06 = 45.04 : x
  2. Step 2: Convert to fraction form
    52.24/78.06 = 45.04/x
  3. Step 3: Cross multiply
    52.24x = 78.06 × 45.04
  4. Step 4: Simplify right side
    52.24x = 3,515.82
  5. Step 5: Solve for x
    x = 3,515.82/52.24
  6. Step 6: Final answer
    x = 67.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.