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Finding the Fourth Proportional to 107.03, 147.59 and 72.05

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Solution

The fourth proportional to 107.03, 147.59 and 72.05 is: 99.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.03 : 147.59 = 72.05 : x
  2. Step 2: Convert to fraction form
    107.03/147.59 = 72.05/x
  3. Step 3: Cross multiply
    107.03x = 147.59 × 72.05
  4. Step 4: Simplify right side
    107.03x = 10,633.50
  5. Step 5: Solve for x
    x = 10,633.50/107.03
  6. Step 6: Final answer
    x = 99.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.