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Finding the Fourth Proportional to 109.42, 151.02 and 70.07

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Solution

The fourth proportional to 109.42, 151.02 and 70.07 is: 96.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.42 : 151.02 = 70.07 : x
  2. Step 2: Convert to fraction form
    109.42/151.02 = 70.07/x
  3. Step 3: Cross multiply
    109.42x = 151.02 × 70.07
  4. Step 4: Simplify right side
    109.42x = 10,580.87
  5. Step 5: Solve for x
    x = 10,580.87/109.42
  6. Step 6: Final answer
    x = 96.70

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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.