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Finding the Fourth Proportional to 100.16, 138.24 and 56.51

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Solution

The fourth proportional to 100.16, 138.24 and 56.51 is: 77.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.16 : 138.24 = 56.51 : x
  2. Step 2: Convert to fraction form
    100.16/138.24 = 56.51/x
  3. Step 3: Cross multiply
    100.16x = 138.24 × 56.51
  4. Step 4: Simplify right side
    100.16x = 7,811.25
  5. Step 5: Solve for x
    x = 7,811.25/100.16
  6. Step 6: Final answer
    x = 77.99

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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.