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Finding the Fourth Proportional to 93.09, 140.46 and 90.06

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Solution

The fourth proportional to 93.09, 140.46 and 90.06 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.09 : 140.46 = 90.06 : x
  2. Step 2: Convert to fraction form
    93.09/140.46 = 90.06/x
  3. Step 3: Cross multiply
    93.09x = 140.46 × 90.06
  4. Step 4: Simplify right side
    93.09x = 12,649.83
  5. Step 5: Solve for x
    x = 12,649.83/93.09
  6. Step 6: Final answer
    x = 135.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.