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Finding the Fourth Proportional to 45.16, 67.87 and 30.03

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Solution

The fourth proportional to 45.16, 67.87 and 30.03 is: 45.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.16 : 67.87 = 30.03 : x
  2. Step 2: Convert to fraction form
    45.16/67.87 = 30.03/x
  3. Step 3: Cross multiply
    45.16x = 67.87 × 30.03
  4. Step 4: Simplify right side
    45.16x = 2,038.14
  5. Step 5: Solve for x
    x = 2,038.14/45.16
  6. Step 6: Final answer
    x = 45.14

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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.