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Finding the Fourth Proportional to 106.51, 146.98 and 65.06

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Solution

The fourth proportional to 106.51, 146.98 and 65.06 is: 89.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.51 : 146.98 = 65.06 : x
  2. Step 2: Convert to fraction form
    106.51/146.98 = 65.06/x
  3. Step 3: Cross multiply
    106.51x = 146.98 × 65.06
  4. Step 4: Simplify right side
    106.51x = 9,561.62
  5. Step 5: Solve for x
    x = 9,561.62/106.51
  6. Step 6: Final answer
    x = 89.77

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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.