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Finding the Fourth Proportional to 32.64, 45.06 and 23.43

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Solution

The fourth proportional to 32.64, 45.06 and 23.43 is: 32.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.64 : 45.06 = 23.43 : x
  2. Step 2: Convert to fraction form
    32.64/45.06 = 23.43/x
  3. Step 3: Cross multiply
    32.64x = 45.06 × 23.43
  4. Step 4: Simplify right side
    32.64x = 1,055.76
  5. Step 5: Solve for x
    x = 1,055.76/32.64
  6. Step 6: Final answer
    x = 32.35

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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.