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Finding the Fourth Proportional to 91.05, 136.54 and 30.16

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Solution

The fourth proportional to 91.05, 136.54 and 30.16 is: 45.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.05 : 136.54 = 30.16 : x
  2. Step 2: Convert to fraction form
    91.05/136.54 = 30.16/x
  3. Step 3: Cross multiply
    91.05x = 136.54 × 30.16
  4. Step 4: Simplify right side
    91.05x = 4,118.47
  5. Step 5: Solve for x
    x = 4,118.47/91.05
  6. Step 6: Final answer
    x = 45.23

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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.