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Finding the Fourth Proportional to 93.54, 139.76 and 91.82

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Solution

The fourth proportional to 93.54, 139.76 and 91.82 is: 137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.54 : 139.76 = 91.82 : x
  2. Step 2: Convert to fraction form
    93.54/139.76 = 91.82/x
  3. Step 3: Cross multiply
    93.54x = 139.76 × 91.82
  4. Step 4: Simplify right side
    93.54x = 12,832.76
  5. Step 5: Solve for x
    x = 12,832.76/93.54
  6. Step 6: Final answer
    x = 137.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.