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Finding the Fourth Proportional to 91.02, 125.64 and 76.14

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Solution

The fourth proportional to 91.02, 125.64 and 76.14 is: 105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 125.64 = 76.14 : x
  2. Step 2: Convert to fraction form
    91.02/125.64 = 76.14/x
  3. Step 3: Cross multiply
    91.02x = 125.64 × 76.14
  4. Step 4: Simplify right side
    91.02x = 9,566.23
  5. Step 5: Solve for x
    x = 9,566.23/91.02
  6. Step 6: Final answer
    x = 105.10

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