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Finding the Fourth Proportional to 38.64, 58.01 and 31.10

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Solution

The fourth proportional to 38.64, 58.01 and 31.10 is: 46.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.64 : 58.01 = 31.10 : x
  2. Step 2: Convert to fraction form
    38.64/58.01 = 31.10/x
  3. Step 3: Cross multiply
    38.64x = 58.01 × 31.10
  4. Step 4: Simplify right side
    38.64x = 1,804.11
  5. Step 5: Solve for x
    x = 1,804.11/38.64
  6. Step 6: Final answer
    x = 46.69

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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.