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Finding the Fourth Proportional to 105, 157.51 and 92.93

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Solution

The fourth proportional to 105, 157.51 and 92.93 is: 139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 157.51 = 92.93 : x
  2. Step 2: Convert to fraction form
    105/157.51 = 92.93/x
  3. Step 3: Cross multiply
    105x = 157.51 × 92.93
  4. Step 4: Simplify right side
    105x = 14,636.62
  5. Step 5: Solve for x
    x = 14,636.62/105
  6. Step 6: Final answer
    x = 139.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.