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Finding the Fourth Proportional to 52.15, 78.23 and 19.66

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Solution

The fourth proportional to 52.15, 78.23 and 19.66 is: 29.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.15 : 78.23 = 19.66 : x
  2. Step 2: Convert to fraction form
    52.15/78.23 = 19.66/x
  3. Step 3: Cross multiply
    52.15x = 78.23 × 19.66
  4. Step 4: Simplify right side
    52.15x = 1,538.22
  5. Step 5: Solve for x
    x = 1,538.22/52.15
  6. Step 6: Final answer
    x = 29.50

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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.