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Finding the Fourth Proportional to 101.64, 140.10 and 89.16

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Solution

The fourth proportional to 101.64, 140.10 and 89.16 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.64 : 140.10 = 89.16 : x
  2. Step 2: Convert to fraction form
    101.64/140.10 = 89.16/x
  3. Step 3: Cross multiply
    101.64x = 140.10 × 89.16
  4. Step 4: Simplify right side
    101.64x = 12,491.32
  5. Step 5: Solve for x
    x = 12,491.32/101.64
  6. Step 6: Final answer
    x = 122.90

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Why These Related Problems?

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