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Finding the Fourth Proportional to 52.23, 78.93 and 51.75

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Solution

The fourth proportional to 52.23, 78.93 and 51.75 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.93 = 51.75 : x
  2. Step 2: Convert to fraction form
    52.23/78.93 = 51.75/x
  3. Step 3: Cross multiply
    52.23x = 78.93 × 51.75
  4. Step 4: Simplify right side
    52.23x = 4,084.63
  5. Step 5: Solve for x
    x = 4,084.63/52.23
  6. Step 6: Final answer
    x = 78.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.