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Finding the Fourth Proportional to 78.07, 117.33 and 52.45

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Solution

The fourth proportional to 78.07, 117.33 and 52.45 is: 78.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.07 : 117.33 = 52.45 : x
  2. Step 2: Convert to fraction form
    78.07/117.33 = 52.45/x
  3. Step 3: Cross multiply
    78.07x = 117.33 × 52.45
  4. Step 4: Simplify right side
    78.07x = 6,153.96
  5. Step 5: Solve for x
    x = 6,153.96/78.07
  6. Step 6: Final answer
    x = 78.83

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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.