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Finding the Fourth Proportional to 46.70, 70.08 and 21.05

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Solution

The fourth proportional to 46.70, 70.08 and 21.05 is: 31.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.70 : 70.08 = 21.05 : x
  2. Step 2: Convert to fraction form
    46.70/70.08 = 21.05/x
  3. Step 3: Cross multiply
    46.70x = 70.08 × 21.05
  4. Step 4: Simplify right side
    46.70x = 1,474.83
  5. Step 5: Solve for x
    x = 1,474.83/46.70
  6. Step 6: Final answer
    x = 31.58

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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.