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Finding the Fourth Proportional to 107.48, 160.36 and 102.33

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Solution

The fourth proportional to 107.48, 160.36 and 102.33 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.48 : 160.36 = 102.33 : x
  2. Step 2: Convert to fraction form
    107.48/160.36 = 102.33/x
  3. Step 3: Cross multiply
    107.48x = 160.36 × 102.33
  4. Step 4: Simplify right side
    107.48x = 16,409.38
  5. Step 5: Solve for x
    x = 16,409.38/107.48
  6. Step 6: Final answer
    x = 152.67

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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.