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Finding the Fourth Proportional to 85.19, 117.58 and 52.00

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Solution

The fourth proportional to 85.19, 117.58 and 52.00 is: 71.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 117.58 = 52.00 : x
  2. Step 2: Convert to fraction form
    85.19/117.58 = 52.00/x
  3. Step 3: Cross multiply
    85.19x = 117.58 × 52.00
  4. Step 4: Simplify right side
    85.19x = 6,114.02
  5. Step 5: Solve for x
    x = 6,114.02/85.19
  6. Step 6: Final answer
    x = 71.77

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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.