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Finding the Fourth Proportional to 101.07, 139.43 and 64.16

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Solution

The fourth proportional to 101.07, 139.43 and 64.16 is: 88.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.07 : 139.43 = 64.16 : x
  2. Step 2: Convert to fraction form
    101.07/139.43 = 64.16/x
  3. Step 3: Cross multiply
    101.07x = 139.43 × 64.16
  4. Step 4: Simplify right side
    101.07x = 8,945.83
  5. Step 5: Solve for x
    x = 8,945.83/101.07
  6. Step 6: Final answer
    x = 88.51

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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.