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Finding the Fourth Proportional to 105.09, 157.17 and 90.51

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Solution

The fourth proportional to 105.09, 157.17 and 90.51 is: 135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 157.17 = 90.51 : x
  2. Step 2: Convert to fraction form
    105.09/157.17 = 90.51/x
  3. Step 3: Cross multiply
    105.09x = 157.17 × 90.51
  4. Step 4: Simplify right side
    105.09x = 14,225.46
  5. Step 5: Solve for x
    x = 14,225.46/105.09
  6. Step 6: Final answer
    x = 135.36

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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.