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Finding the Fourth Proportional to 78.51, 117.75 and 29.77

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Solution

The fourth proportional to 78.51, 117.75 and 29.77 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.51 : 117.75 = 29.77 : x
  2. Step 2: Convert to fraction form
    78.51/117.75 = 29.77/x
  3. Step 3: Cross multiply
    78.51x = 117.75 × 29.77
  4. Step 4: Simplify right side
    78.51x = 3,505.23
  5. Step 5: Solve for x
    x = 3,505.23/78.51
  6. Step 6: Final answer
    x = 44.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.