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Finding the Fourth Proportional to 101.79, 140.43 and 65.00

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Solution

The fourth proportional to 101.79, 140.43 and 65.00 is: 89.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.79 : 140.43 = 65.00 : x
  2. Step 2: Convert to fraction form
    101.79/140.43 = 65.00/x
  3. Step 3: Cross multiply
    101.79x = 140.43 × 65.00
  4. Step 4: Simplify right side
    101.79x = 9,127.25
  5. Step 5: Solve for x
    x = 9,127.25/101.79
  6. Step 6: Final answer
    x = 89.67

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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.