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Finding the Fourth Proportional to 43.32, 65.00 and 23.01

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Solution

The fourth proportional to 43.32, 65.00 and 23.01 is: 34.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.32 : 65.00 = 23.01 : x
  2. Step 2: Convert to fraction form
    43.32/65.00 = 23.01/x
  3. Step 3: Cross multiply
    43.32x = 65.00 × 23.01
  4. Step 4: Simplify right side
    43.32x = 1,495.65
  5. Step 5: Solve for x
    x = 1,495.65/43.32
  6. Step 6: Final answer
    x = 34.52

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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.