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Finding the Fourth Proportional to 105.51, 157.26 and 99.60

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Solution

The fourth proportional to 105.51, 157.26 and 99.60 is: 148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.51 : 157.26 = 99.60 : x
  2. Step 2: Convert to fraction form
    105.51/157.26 = 99.60/x
  3. Step 3: Cross multiply
    105.51x = 157.26 × 99.60
  4. Step 4: Simplify right side
    105.51x = 15,663.10
  5. Step 5: Solve for x
    x = 15,663.10/105.51
  6. Step 6: Final answer
    x = 148.45

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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.