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Finding the Fourth Proportional to 46.90, 70.17 and 29.77

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Solution

The fourth proportional to 46.90, 70.17 and 29.77 is: 44.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.90 : 70.17 = 29.77 : x
  2. Step 2: Convert to fraction form
    46.90/70.17 = 29.77/x
  3. Step 3: Cross multiply
    46.90x = 70.17 × 29.77
  4. Step 4: Simplify right side
    46.90x = 2,089.24
  5. Step 5: Solve for x
    x = 2,089.24/46.90
  6. Step 6: Final answer
    x = 44.55

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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.