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Finding the Fourth Proportional to 91.42, 126.16 and 54.58

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Solution

The fourth proportional to 91.42, 126.16 and 54.58 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 126.16 = 54.58 : x
  2. Step 2: Convert to fraction form
    91.42/126.16 = 54.58/x
  3. Step 3: Cross multiply
    91.42x = 126.16 × 54.58
  4. Step 4: Simplify right side
    91.42x = 6,885.42
  5. Step 5: Solve for x
    x = 6,885.42/91.42
  6. Step 6: Final answer
    x = 75.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.