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Finding the Fourth Proportional to 106.04, 146.16 and 71.00

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Solution

The fourth proportional to 106.04, 146.16 and 71.00 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 146.16 = 71.00 : x
  2. Step 2: Convert to fraction form
    106.04/146.16 = 71.00/x
  3. Step 3: Cross multiply
    106.04x = 146.16 × 71.00
  4. Step 4: Simplify right side
    106.04x = 10,376.63
  5. Step 5: Solve for x
    x = 10,376.63/106.04
  6. Step 6: Final answer
    x = 97.86

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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.