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Finding the Fourth Proportional to 78.07, 117.05 and 32.37

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Solution

The fourth proportional to 78.07, 117.05 and 32.37 is: 48.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.07 : 117.05 = 32.37 : x
  2. Step 2: Convert to fraction form
    78.07/117.05 = 32.37/x
  3. Step 3: Cross multiply
    78.07x = 117.05 × 32.37
  4. Step 4: Simplify right side
    78.07x = 3,788.91
  5. Step 5: Solve for x
    x = 3,788.91/78.07
  6. Step 6: Final answer
    x = 48.53

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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.