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Finding the Fourth Proportional to 32.90, 49.01 and 32.10

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Solution

The fourth proportional to 32.90, 49.01 and 32.10 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.90 : 49.01 = 32.10 : x
  2. Step 2: Convert to fraction form
    32.90/49.01 = 32.10/x
  3. Step 3: Cross multiply
    32.90x = 49.01 × 32.10
  4. Step 4: Simplify right side
    32.90x = 1,573.22
  5. Step 5: Solve for x
    x = 1,573.22/32.90
  6. Step 6: Final answer
    x = 47.82

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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.