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Finding the Fourth Proportional to 76.90, 106.06 and 47.40

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Solution

The fourth proportional to 76.90, 106.06 and 47.40 is: 65.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.90 : 106.06 = 47.40 : x
  2. Step 2: Convert to fraction form
    76.90/106.06 = 47.40/x
  3. Step 3: Cross multiply
    76.90x = 106.06 × 47.40
  4. Step 4: Simplify right side
    76.90x = 5,027.07
  5. Step 5: Solve for x
    x = 5,027.07/76.90
  6. Step 6: Final answer
    x = 65.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.