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Finding the Fourth Proportional to 30.23, 45.28 and 23.01

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Solution

The fourth proportional to 30.23, 45.28 and 23.01 is: 34.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.23 : 45.28 = 23.01 : x
  2. Step 2: Convert to fraction form
    30.23/45.28 = 23.01/x
  3. Step 3: Cross multiply
    30.23x = 45.28 × 23.01
  4. Step 4: Simplify right side
    30.23x = 1,041.84
  5. Step 5: Solve for x
    x = 1,041.84/30.23
  6. Step 6: Final answer
    x = 34.47

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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.