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Finding the Fourth Proportional to 46.99, 70.53 and 21.34

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Solution

The fourth proportional to 46.99, 70.53 and 21.34 is: 32.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 70.53 = 21.34 : x
  2. Step 2: Convert to fraction form
    46.99/70.53 = 21.34/x
  3. Step 3: Cross multiply
    46.99x = 70.53 × 21.34
  4. Step 4: Simplify right side
    46.99x = 1,505.11
  5. Step 5: Solve for x
    x = 1,505.11/46.99
  6. Step 6: Final answer
    x = 32.03

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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.