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Finding the Fourth Proportional to 91.16, 125.80 and 54.34

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Solution

The fourth proportional to 91.16, 125.80 and 54.34 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.16 : 125.80 = 54.34 : x
  2. Step 2: Convert to fraction form
    91.16/125.80 = 54.34/x
  3. Step 3: Cross multiply
    91.16x = 125.80 × 54.34
  4. Step 4: Simplify right side
    91.16x = 6,835.41
  5. Step 5: Solve for x
    x = 6,835.41/91.16
  6. Step 6: Final answer
    x = 74.98

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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.