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Finding the Fourth Proportional to 106.65, 147.12 and 65.19

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Solution

The fourth proportional to 106.65, 147.12 and 65.19 is: 89.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 147.12 = 65.19 : x
  2. Step 2: Convert to fraction form
    106.65/147.12 = 65.19/x
  3. Step 3: Cross multiply
    106.65x = 147.12 × 65.19
  4. Step 4: Simplify right side
    106.65x = 9,590.75
  5. Step 5: Solve for x
    x = 9,590.75/106.65
  6. Step 6: Final answer
    x = 89.93

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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.