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Finding the Fourth Proportional to 52.35, 78.54 and 30.69

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Solution

The fourth proportional to 52.35, 78.54 and 30.69 is: 46.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.35 : 78.54 = 30.69 : x
  2. Step 2: Convert to fraction form
    52.35/78.54 = 30.69/x
  3. Step 3: Cross multiply
    52.35x = 78.54 × 30.69
  4. Step 4: Simplify right side
    52.35x = 2,410.39
  5. Step 5: Solve for x
    x = 2,410.39/52.35
  6. Step 6: Final answer
    x = 46.04

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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.