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Finding the Fourth Proportional to 154.75, 232.15 and 52.06

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Solution

The fourth proportional to 154.75, 232.15 and 52.06 is: 78.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 232.15 = 52.06 : x
  2. Step 2: Convert to fraction form
    154.75/232.15 = 52.06/x
  3. Step 3: Cross multiply
    154.75x = 232.15 × 52.06
  4. Step 4: Simplify right side
    154.75x = 12,085.02
  5. Step 5: Solve for x
    x = 12,085.02/154.75
  6. Step 6: Final answer
    x = 78.10

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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.