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Finding the Fourth Proportional to 52.59, 78.44 and 45.29

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Solution

The fourth proportional to 52.59, 78.44 and 45.29 is: 67.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 78.44 = 45.29 : x
  2. Step 2: Convert to fraction form
    52.59/78.44 = 45.29/x
  3. Step 3: Cross multiply
    52.59x = 78.44 × 45.29
  4. Step 4: Simplify right side
    52.59x = 3,552.27
  5. Step 5: Solve for x
    x = 3,552.27/52.59
  6. Step 6: Final answer
    x = 67.55

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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.