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Finding the Fourth Proportional to 100.99, 139.34 and 64.16

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Solution

The fourth proportional to 100.99, 139.34 and 64.16 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.99 : 139.34 = 64.16 : x
  2. Step 2: Convert to fraction form
    100.99/139.34 = 64.16/x
  3. Step 3: Cross multiply
    100.99x = 139.34 × 64.16
  4. Step 4: Simplify right side
    100.99x = 8,939.52
  5. Step 5: Solve for x
    x = 8,939.52/100.99
  6. Step 6: Final answer
    x = 88.52

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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.