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Finding the Fourth Proportional to 72.22, 99.63 and 53.77

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Solution

The fourth proportional to 72.22, 99.63 and 53.77 is: 74.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.22 : 99.63 = 53.77 : x
  2. Step 2: Convert to fraction form
    72.22/99.63 = 53.77/x
  3. Step 3: Cross multiply
    72.22x = 99.63 × 53.77
  4. Step 4: Simplify right side
    72.22x = 5,357.11
  5. Step 5: Solve for x
    x = 5,357.11/72.22
  6. Step 6: Final answer
    x = 74.18

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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.