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Finding the Fourth Proportional to 72.90, 99.90 and 71.64

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Solution

The fourth proportional to 72.90, 99.90 and 71.64 is: 98.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.90 : 99.90 = 71.64 : x
  2. Step 2: Convert to fraction form
    72.90/99.90 = 71.64/x
  3. Step 3: Cross multiply
    72.90x = 99.90 × 71.64
  4. Step 4: Simplify right side
    72.90x = 7,156.84
  5. Step 5: Solve for x
    x = 7,156.84/72.90
  6. Step 6: Final answer
    x = 98.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.