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Finding the Fourth Proportional to 32.15, 48.30 and 30.93

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Solution

The fourth proportional to 32.15, 48.30 and 30.93 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.15 : 48.30 = 30.93 : x
  2. Step 2: Convert to fraction form
    32.15/48.30 = 30.93/x
  3. Step 3: Cross multiply
    32.15x = 48.30 × 30.93
  4. Step 4: Simplify right side
    32.15x = 1,493.89
  5. Step 5: Solve for x
    x = 1,493.89/32.15
  6. Step 6: Final answer
    x = 46.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.