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Finding the Fourth Proportional to 101.55, 140.04 and 64.64

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Solution

The fourth proportional to 101.55, 140.04 and 64.64 is: 89.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.55 : 140.04 = 64.64 : x
  2. Step 2: Convert to fraction form
    101.55/140.04 = 64.64/x
  3. Step 3: Cross multiply
    101.55x = 140.04 × 64.64
  4. Step 4: Simplify right side
    101.55x = 9,051.96
  5. Step 5: Solve for x
    x = 9,051.96/101.55
  6. Step 6: Final answer
    x = 89.14

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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.