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Finding the Fourth Proportional to 109.16, 150.52 and 70.36

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Solution

The fourth proportional to 109.16, 150.52 and 70.36 is: 97.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 150.52 = 70.36 : x
  2. Step 2: Convert to fraction form
    109.16/150.52 = 70.36/x
  3. Step 3: Cross multiply
    109.16x = 150.52 × 70.36
  4. Step 4: Simplify right side
    109.16x = 10,590.59
  5. Step 5: Solve for x
    x = 10,590.59/109.16
  6. Step 6: Final answer
    x = 97.02

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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.