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Finding the Fourth Proportional to 51.90, 77.88 and 47.08

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Solution

The fourth proportional to 51.90, 77.88 and 47.08 is: 70.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 77.88 = 47.08 : x
  2. Step 2: Convert to fraction form
    51.90/77.88 = 47.08/x
  3. Step 3: Cross multiply
    51.90x = 77.88 × 47.08
  4. Step 4: Simplify right side
    51.90x = 3,666.59
  5. Step 5: Solve for x
    x = 3,666.59/51.90
  6. Step 6: Final answer
    x = 70.65

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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.