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Finding the Fourth Proportional to 52.40, 78.48 and 34.36

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Solution

The fourth proportional to 52.40, 78.48 and 34.36 is: 51.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.48 = 34.36 : x
  2. Step 2: Convert to fraction form
    52.40/78.48 = 34.36/x
  3. Step 3: Cross multiply
    52.40x = 78.48 × 34.36
  4. Step 4: Simplify right side
    52.40x = 2,696.57
  5. Step 5: Solve for x
    x = 2,696.57/52.40
  6. Step 6: Final answer
    x = 51.46

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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.