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Finding the Fourth Proportional to 93.50, 139.65 and 88.23

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Solution

The fourth proportional to 93.50, 139.65 and 88.23 is: 131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.50 : 139.65 = 88.23 : x
  2. Step 2: Convert to fraction form
    93.50/139.65 = 88.23/x
  3. Step 3: Cross multiply
    93.50x = 139.65 × 88.23
  4. Step 4: Simplify right side
    93.50x = 12,321.51
  5. Step 5: Solve for x
    x = 12,321.51/93.50
  6. Step 6: Final answer
    x = 131.78

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Why These Related Problems?

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