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Finding the Fourth Proportional to 32.70, 45.10 and 23

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Solution

The fourth proportional to 32.70, 45.10 and 23 is: 31.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.70 : 45.10 = 23 : x
  2. Step 2: Convert to fraction form
    32.70/45.10 = 23/x
  3. Step 3: Cross multiply
    32.70x = 45.10 × 23
  4. Step 4: Simplify right side
    32.70x = 1,037.30
  5. Step 5: Solve for x
    x = 1,037.30/32.70
  6. Step 6: Final answer
    x = 31.72

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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.