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Finding the Fourth Proportional to 105.77, 157.80 and 102.13

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Solution

The fourth proportional to 105.77, 157.80 and 102.13 is: 152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 157.80 = 102.13 : x
  2. Step 2: Convert to fraction form
    105.77/157.80 = 102.13/x
  3. Step 3: Cross multiply
    105.77x = 157.80 × 102.13
  4. Step 4: Simplify right side
    105.77x = 16,116.11
  5. Step 5: Solve for x
    x = 16,116.11/105.77
  6. Step 6: Final answer
    x = 152.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.