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Finding the Fourth Proportional to 152.60, 210.83 and 117.77

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Solution

The fourth proportional to 152.60, 210.83 and 117.77 is: 162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.60 : 210.83 = 117.77 : x
  2. Step 2: Convert to fraction form
    152.60/210.83 = 117.77/x
  3. Step 3: Cross multiply
    152.60x = 210.83 × 117.77
  4. Step 4: Simplify right side
    152.60x = 24,827.81
  5. Step 5: Solve for x
    x = 24,827.81/152.60
  6. Step 6: Final answer
    x = 162.70

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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.