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Finding the Fourth Proportional to 30.16, 45.36 and 24.16

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Solution

The fourth proportional to 30.16, 45.36 and 24.16 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.16 : 45.36 = 24.16 : x
  2. Step 2: Convert to fraction form
    30.16/45.36 = 24.16/x
  3. Step 3: Cross multiply
    30.16x = 45.36 × 24.16
  4. Step 4: Simplify right side
    30.16x = 1,095.90
  5. Step 5: Solve for x
    x = 1,095.90/30.16
  6. Step 6: Final answer
    x = 36.34

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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.