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Finding the Fourth Proportional to 106, 146.40 and 71.60

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Solution

The fourth proportional to 106, 146.40 and 71.60 is: 98.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 146.40 = 71.60 : x
  2. Step 2: Convert to fraction form
    106/146.40 = 71.60/x
  3. Step 3: Cross multiply
    106x = 146.40 × 71.60
  4. Step 4: Simplify right side
    106x = 10,482.24
  5. Step 5: Solve for x
    x = 10,482.24/106
  6. Step 6: Final answer
    x = 98.89

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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.