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Finding the Fourth Proportional to 32.16, 47.93 and 31.30

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Solution

The fourth proportional to 32.16, 47.93 and 31.30 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.16 : 47.93 = 31.30 : x
  2. Step 2: Convert to fraction form
    32.16/47.93 = 31.30/x
  3. Step 3: Cross multiply
    32.16x = 47.93 × 31.30
  4. Step 4: Simplify right side
    32.16x = 1,500.21
  5. Step 5: Solve for x
    x = 1,500.21/32.16
  6. Step 6: Final answer
    x = 46.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.