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Finding the Fourth Proportional to 70.76, 106.23 and 46.76

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Solution

The fourth proportional to 70.76, 106.23 and 46.76 is: 70.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.76 : 106.23 = 46.76 : x
  2. Step 2: Convert to fraction form
    70.76/106.23 = 46.76/x
  3. Step 3: Cross multiply
    70.76x = 106.23 × 46.76
  4. Step 4: Simplify right side
    70.76x = 4,967.31
  5. Step 5: Solve for x
    x = 4,967.31/70.76
  6. Step 6: Final answer
    x = 70.20

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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.