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Finding the Fourth Proportional to 66.19, 91.20 and 52.35

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Solution

The fourth proportional to 66.19, 91.20 and 52.35 is: 72.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.19 : 91.20 = 52.35 : x
  2. Step 2: Convert to fraction form
    66.19/91.20 = 52.35/x
  3. Step 3: Cross multiply
    66.19x = 91.20 × 52.35
  4. Step 4: Simplify right side
    66.19x = 4,774.32
  5. Step 5: Solve for x
    x = 4,774.32/66.19
  6. Step 6: Final answer
    x = 72.13

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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.