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Finding the Fourth Proportional to 72.53, 100.07 and 43.00

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Solution

The fourth proportional to 72.53, 100.07 and 43.00 is: 59.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.53 : 100.07 = 43.00 : x
  2. Step 2: Convert to fraction form
    72.53/100.07 = 43.00/x
  3. Step 3: Cross multiply
    72.53x = 100.07 × 43.00
  4. Step 4: Simplify right side
    72.53x = 4,302.29
  5. Step 5: Solve for x
    x = 4,302.29/72.53
  6. Step 6: Final answer
    x = 59.32

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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.