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Finding the Fourth Proportional to 112.48, 155.40 and 106

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Solution

The fourth proportional to 112.48, 155.40 and 106 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.48 : 155.40 = 106 : x
  2. Step 2: Convert to fraction form
    112.48/155.40 = 106/x
  3. Step 3: Cross multiply
    112.48x = 155.40 × 106
  4. Step 4: Simplify right side
    112.48x = 16,472.40
  5. Step 5: Solve for x
    x = 16,472.40/112.48
  6. Step 6: Final answer
    x = 146.45

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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.