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Finding the Fourth Proportional to 52.32, 78.06 and 46.26

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Solution

The fourth proportional to 52.32, 78.06 and 46.26 is: 69.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 78.06 = 46.26 : x
  2. Step 2: Convert to fraction form
    52.32/78.06 = 46.26/x
  3. Step 3: Cross multiply
    52.32x = 78.06 × 46.26
  4. Step 4: Simplify right side
    52.32x = 3,611.06
  5. Step 5: Solve for x
    x = 3,611.06/52.32
  6. Step 6: Final answer
    x = 69.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.