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Finding the Fourth Proportional to 91.48, 137.25 and 42.77

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Solution

The fourth proportional to 91.48, 137.25 and 42.77 is: 64.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 137.25 = 42.77 : x
  2. Step 2: Convert to fraction form
    91.48/137.25 = 42.77/x
  3. Step 3: Cross multiply
    91.48x = 137.25 × 42.77
  4. Step 4: Simplify right side
    91.48x = 5,870.18
  5. Step 5: Solve for x
    x = 5,870.18/91.48
  6. Step 6: Final answer
    x = 64.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.