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Finding the Fourth Proportional to 32.05, 48.26 and 30.02

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Solution

The fourth proportional to 32.05, 48.26 and 30.02 is: 45.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.05 : 48.26 = 30.02 : x
  2. Step 2: Convert to fraction form
    32.05/48.26 = 30.02/x
  3. Step 3: Cross multiply
    32.05x = 48.26 × 30.02
  4. Step 4: Simplify right side
    32.05x = 1,448.77
  5. Step 5: Solve for x
    x = 1,448.77/32.05
  6. Step 6: Final answer
    x = 45.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.