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Finding the Fourth Proportional to 72.46, 100.02 and 53.02

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Solution

The fourth proportional to 72.46, 100.02 and 53.02 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.46 : 100.02 = 53.02 : x
  2. Step 2: Convert to fraction form
    72.46/100.02 = 53.02/x
  3. Step 3: Cross multiply
    72.46x = 100.02 × 53.02
  4. Step 4: Simplify right side
    72.46x = 5,303.06
  5. Step 5: Solve for x
    x = 5,303.06/72.46
  6. Step 6: Final answer
    x = 73.19

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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.