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Finding the Fourth Proportional to 52.37, 78.21 and 45.46

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Solution

The fourth proportional to 52.37, 78.21 and 45.46 is: 67.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.37 : 78.21 = 45.46 : x
  2. Step 2: Convert to fraction form
    52.37/78.21 = 45.46/x
  3. Step 3: Cross multiply
    52.37x = 78.21 × 45.46
  4. Step 4: Simplify right side
    52.37x = 3,555.52
  5. Step 5: Solve for x
    x = 3,555.52/52.37
  6. Step 6: Final answer
    x = 67.89

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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.