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Finding the Fourth Proportional to 106.16, 146.48 and 59.53

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Solution

The fourth proportional to 106.16, 146.48 and 59.53 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 146.48 = 59.53 : x
  2. Step 2: Convert to fraction form
    106.16/146.48 = 59.53/x
  3. Step 3: Cross multiply
    106.16x = 146.48 × 59.53
  4. Step 4: Simplify right side
    106.16x = 8,719.74
  5. Step 5: Solve for x
    x = 8,719.74/106.16
  6. Step 6: Final answer
    x = 82.14

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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.