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Finding the Fourth Proportional to 52.16, 78.14 and 46.22

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Solution

The fourth proportional to 52.16, 78.14 and 46.22 is: 69.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 78.14 = 46.22 : x
  2. Step 2: Convert to fraction form
    52.16/78.14 = 46.22/x
  3. Step 3: Cross multiply
    52.16x = 78.14 × 46.22
  4. Step 4: Simplify right side
    52.16x = 3,611.63
  5. Step 5: Solve for x
    x = 3,611.63/52.16
  6. Step 6: Final answer
    x = 69.24

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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.