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Finding the Fourth Proportional to 52.35, 78.54 and 28.32

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Solution

The fourth proportional to 52.35, 78.54 and 28.32 is: 42.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.35 : 78.54 = 28.32 : x
  2. Step 2: Convert to fraction form
    52.35/78.54 = 28.32/x
  3. Step 3: Cross multiply
    52.35x = 78.54 × 28.32
  4. Step 4: Simplify right side
    52.35x = 2,224.25
  5. Step 5: Solve for x
    x = 2,224.25/52.35
  6. Step 6: Final answer
    x = 42.49

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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.