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Finding the Fourth Proportional to 30.60, 45.74 and 24.09

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Solution

The fourth proportional to 30.60, 45.74 and 24.09 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.60 : 45.74 = 24.09 : x
  2. Step 2: Convert to fraction form
    30.60/45.74 = 24.09/x
  3. Step 3: Cross multiply
    30.60x = 45.74 × 24.09
  4. Step 4: Simplify right side
    30.60x = 1,101.76
  5. Step 5: Solve for x
    x = 1,101.76/30.60
  6. Step 6: Final answer
    x = 36.01

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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.