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Finding the Fourth Proportional to 30, 45.06 and 24.93

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Solution

The fourth proportional to 30, 45.06 and 24.93 is: 37.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 45.06 = 24.93 : x
  2. Step 2: Convert to fraction form
    30/45.06 = 24.93/x
  3. Step 3: Cross multiply
    30x = 45.06 × 24.93
  4. Step 4: Simplify right side
    30x = 1,123.35
  5. Step 5: Solve for x
    x = 1,123.35/30
  6. Step 6: Final answer
    x = 37.44

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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.