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Finding the Fourth Proportional to 32.15, 47.54 and 32.15

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Solution

The fourth proportional to 32.15, 47.54 and 32.15 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.15 : 47.54 = 32.15 : x
  2. Step 2: Convert to fraction form
    32.15/47.54 = 32.15/x
  3. Step 3: Cross multiply
    32.15x = 47.54 × 32.15
  4. Step 4: Simplify right side
    32.15x = 1,528.41
  5. Step 5: Solve for x
    x = 1,528.41/32.15
  6. Step 6: Final answer
    x = 47.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.